With so much having going on in the NFL over the past 48 hours, it's easy to let the game against the Colts kind of slip under the cracks a bit, but we ain't forget about it. And in this video, we're going to talk about how we think the game is going to go. The good, the bad, the ugly, the pretty, and everything in between. Let's do it. Yeah, this feels like a dream. The YouTube team keep it clean. What's going on? Welcome to week five. And it's crazy that we were just having conversations about different players at the Ravens. Different players at the Ravens could draft. And now we're already in week five of the regular season. Time be moving so fast, man. But before we get into this video, we're going to talk about the Colts game on Monday night football, another prime time game for the Ravens. Ain't no complaints about that, even though I really enjoyed the one o'clock and the four 30 games. I really did, man. But anyway, before we get into that, I got to give a special shout out to all the team. Keep it clean. Patrons. Appreciate y'all. And just everybody in team keep it clean. Thank you. Special shout out to the patrons. If you want to become a team, keep it clean, Patron, you can go to patreon.com slash engraving vids. And if you don't, you ain't got to go to patreon.com slash engraving vids. You can stay right where you at. Just chill. Just vibe. Ain't nothing. But either way, I love y'all and I really do appreciate y'all just rocking with the channel. Now, Colts, Ravens Monday night football from M&T Bank Stadium, because that's a kicker right there. You know, if y'all been watching Ravens for a little while, you know, when it comes to Monday night football games, they get them now. They get them, but they don't be at the crib too often. But anyway, so it's nice to have this. I know they had one last year, of course, against the Kansas City Chiefs, but we don't want to talk about that game. We want to talk about this year's game against the Kansas City Chiefs. But anyway, Colts, all right. So this game, the Colts, they are coming in at one and three and the Ravens have the exact opposite record of three and one. Now, when I was watching that Colts and Dolphins game the other day, when they won, it was kind of bittersweet for me because y'all know we down here in Miami. So I got love for the Dolphins. A lot of my family, they're Dolphins fans because they originally from Miami. But I was like, I want to see the Dolphins win. But then at the same time, I was like, but the Colts, I want them to get that first win off their back because if they get that first win off their back, then when they come into M&T Bank Stadium, then it'll be like, OK, it'll be less pressure on them so they can take it a bit easier. And I mean, it could work in two ways. It could work like that or it could work to where they like, OK, we got to win against the Dolphins. You know what? Let's go get another win. But either way, I am glad they got that first one off their back because had they not won, then they would have been sitting at 0 and 4. And 0 and 4 is a lot to come back from because it is a very short season, even with it being a game longer, it's still a very short season. And it goes by like that. And to come back from that sort of record deficit would be a lot for Indianapolis. So a team that could possibly and of course, it wouldn't be technically but a team that could possibly not have anything to play for. Those are the most dangerous teams in the league to play against because they are not afraid to pull out all the stops. They're not afraid to try any of these crazy plays. They're not afraid to go for it on any fourth day. They are super aggressive and they play super crazy. So it could throw you off guard. But anyway, in this game, tackling for the Ravens defense, it has to be better. Why? Because you're going up against one of the better young running backs in the league. I know there used to be a lot of back and forth between who is better? No coach fans and Ravens fans. Back and forth. Oh, Jonathan Taylor. Oh, J.K. Dobbins, Jonathan Taylor, J.K. Dobbins. And it's a shame that we can't see these two go head to head this year. But Jonathan Taylor, he's nice, man. We knew he was nice. Ravens got to see him up close and personal last year. But the tackling in this game, it has to be good because you don't want him or you don't want them because they got high ends too. You don't want their running backs breaking off big games because as opposed to Melvin Gordon, these running backs, in my opinion, have a better element of speed. So if they break a big one, they could take it to the house. And that's exactly what you don't want, don't need, and you can't have. So it's important that the Ravens obviously stopped the run game, but it's important that the Ravens tackle well. And last week, it was going to look scary. It was looking like a big yikes because it was looking like the Ravens were going to have a bad day tackling. But they let all the bad tackling out on that one drive. They let it all out on that one drive when they gave up a touchdown. Then after that, they tightened up in a major way. So that's the Ravens that we want to see moving forward. The ones that tighten up. Another thing, too, just speaking of defense, just general defense with Wink, the adjustments. Keep them up, please. And you don't have to, as we saw last week, even though they did lose their quarterback, so I'm sure that changed a lot, too. But like we saw last week, you don't have to wait till a second to have to make adjustments. You can do it right away because the Broncos, they got that one drive. That was it. That was the only one that they got. That was it. And then they got the one at the very, very end of the game when it was out of reach. But besides that, they were not moving the ball like that. They would get the first down here and there, but. That defense was holding it down. So that's what we need them to continue to do. Marlon Humphrey. Now let's get into players specifically. Marlon Humphrey, who is their guy at wide receiver for the Colts? They got Michael Pittman, Junior, they got Pascal. They don't have T.Y. Hilton right now. So I feel like they don't have that guy for them at the wide receiver position. And I was just talking to my guy from No Horse in the Round podcast a couple of days ago, and he was saying that we just we don't have that deep threat at the wide receiver position. So that's something to keep an eye on that gives an advantage to the Ravens, especially if depending on their safety position, depending on who's playing and who's not playing. Because I'm not sure as of right now, because the date right now is Thursday. It's 9.15 a.m. on Thursday. So we haven't gotten to see if the Sean Elliott is practicing or not yet. So but anyway, they don't with them not having a deep threat like that, that helps the Ravens because that can keep the game to an underneath sort of game. And that cornerbacks like Marlon Humphrey, physical cornerback cornerbacks like Anthony Avent, physical cornerback. They can press on those wide receivers and not have to worry about somebody taking it over top. So that that benefits the Ravens in a big way, because you know, with the Ravens cornerbacks, they will Marlon Humphrey sometimes he struggles with with the deep ball. He struggles with locating it sometimes, as we've seen this season, Anthony Avent, that was his struggle. But he's turned it around a lot. So but if they don't, if they not even throwing any deep ball, I mean, you know, they're going to throw some, but if those can be limited, then that just it plays in our favor so much. Patrick Queen, Patrick Queen, who has been under a lot of criticism from Ravens fans because of the Miss Tackles, because they have been a lot of Miss Tackles. And as I think with Patrick Queen, the Miss Tackles get highlighted that much more because he is an inside linebacker. So, you know, as an inside linebacker, there's going to be a lot of play coming your way. And you know, you're going to be making a lot of tackles. He's expected to lead the team in tackles. That's what inside linebackers do. But the Miss Tackles has been a thing and him getting pushed back has been a thing. So what Patrick Queen is just going to be another week to just try to show some improvement in that area. Patrick Queen is still a good player, still can make some plays, still does make some plays. But we just we just want to see that consistency continue to build up. So wrap up the wrap up tackling. And if you can't bring somebody down again, you get him a big hug and you tell them, hey, I appreciate you coming through. I appreciate you trying to run on us, but I got to stop you here. I can't bring you down, but I'm going to wait for my boys them to come so they could take you down. So that's that's all you got to do, man. But this game, I feel like with this game, with the running backs, Patrick Queen, his game is going to be important because he brings that element of speed and I feel like they got to match speed for speed. Also another thing too, Ravens, they haven't gotten burned on it in the well, at least against the Broncos, against the the Lions they did. But the screen game, please, the screen game, watch out for it. Because again, with these running backs, they got that element of speed. And with Heinz, I think his name is Naim Heinz. I know I'm pronouncing his name wrong, but I know they use him as a returner. So those return guys, they're shifty and you give them a screen and you get them the right blocking. It's to the house and we don't want them going to the house at all. We want them going home upset after the game, but we don't go want them going to the house during the game because that wouldn't be a good thing. So yeah, with defense, they just got to be on point. Adafi away. Adafi, man, that dude has been doing this thing, man. Impact player, rookie player. He said yesterday, he said, I want to be labeled no pass rusher. I want to be just a pass rushing specialist. No. And OK, you ain't got to be just that. You could just be a ball and that's fine. We cool with that. And he's been making his mark in this league. So this will be a nice game to continue that. Justin Houston. I'm sure this game is a little bit personal for him, since he used to play for the Colts. And that was the last thing that he'd been playing for for the past couple of years. And they apparently had one in him back. But he turned them down. He turned down more money from the Steelers to come join the Ravens. And it says a lot. That says a lot about the Ravens. That says a lot about him. And that says a lot about just how he views this organization. So that that was a beautiful thing to hear. And he's he's been he's been making his mark, too. So Justin Houston, I'm sure he can have a little extra burst to his step in this game and attempting to sack one Carson Wentz. The interior of the defensive line Kaleas Campbell, Brandon Williams. It's important that they just they clog that thing up, man, especially Brandon Williams. That's what he's there for. That's what he does. And he does a phenomenal job of it. But it's important that they clog up the middle again to stop that run game, because I really feel like if Ravens could stop that run game and stop it early. And then, of course, on offense, they put up points when we're going to talk about offense in a bit. But I feel like this game, it has the potential for Ravens to just really take off. Because again, with the Colts really not having that deep threat guy at a wide receiver and not that you can't still create some deep threat plays. But if you have more so underneath guys and these physical wide receivers who ain't deep threat receivers, then that could really it could play in your favor, man, as far as the rate it could play in their favor if they force the Colts to just have to get past happy and early on. So hopefully that's what ends up happening. Mata BK, man, Mata BK. We've been so proud of him. I've been so proud of him because he's been making some noise. And this is his second year. He he's going to be something, man. He is going to be something because when you think of Mata BK, word that comes to my mind is just disruptive, disruptive.  So we hope that that continues. Jimmy Smith, who has been an unsung hero because ever since Jimmy Smith's come back and while the level of competition that Titan has gone down now, it has gone down. But still, Jimmy Smith, his impact on that has been big because I mean, no matter who the Titan is, man, if they can get going, they can get going. So whether it's against a great Titan, whether it's not so great Titan, you still got to try to shut them down. And since Jimmy Smith's been back, the Titans, they have not been feasting like they were the first two weeks.  So yeah, that that's the defense, man. They know what they need to do. We know what they need to do, especially against these coats. Now, it's a matter of getting it done. Special teams. Justin Tucker, Sam Cook, I mean, Nick Moore, we ain't even got to talk about y'all. Make the field goals. Hopefully Sam Cook doesn't have to punt at all. Now, we don't want there to be turnovers, but hopefully he doesn't have to punt at all because that would mean the Ravens are just scoring like crazy. But Devon Duvenay. Devon Duvenay, somebody, somebody in the comment section said it. I forgot who it was. My apologies, but shout out to you. They were like, man, with Devon Duvenay, they were like, it's like we don't want him to make a big mistake in the game. But every time that he makes a big mistake in the game, he makes up for it in a huge way. So they they were like, we almost kind of want him to make a mistake because we know that he's going to make up for it like right away. And he's been doing it. He's been doing it. So because Devon Duvenay in this last game against the Broncos, he called for a fair catch, like on a five or six yard line. It wasn't a good decision. But then a couple of punt returns later, this dude got a big point right before halftime. He got that big point return right before halftime that set the Ravens up and they kicked the field goal right before halftime. There was a game. I forget whether I think it was against the Lions where he fumbled the ball. Now they get called back because of the penalty. But then on the very next, the the the punt return right after that, he ended up getting a really nice point return. A really, really good and then there was the I want to say it was the was it the Chiefs game? I forget. I think it was the Chiefs game. But where Devon Duvenay called, I forgot what he did, but he didn't end up catching the touchdown. He ended up catching the touchdown in the back of the end zone and then there was the well, it wasn't his mistake, but it was Tyson Williams mistake where he ran the ball was on the goal line and he fumbled on the goal line. What Devon Duvenay do? He ended up being right place, right time, caught it and because that could have been really bad. So shout out to Devon Duvenay. Devon Duvenay has been so far through the first four games, I call him Mr. Cleanup because that's exactly what he's been doing. He's been cleaning up Ravens mistakes. And his own mistakes, but he's been Mr. Cleanup. So shout out to him.  Well, yeah, that's it. He ain't returning no more puns no more. He makes up for it right away. And then it's like, OK, yeah, he get another chance. So I'm happy for Duvenay and it's nice to see him get involved a little bit more in offense too. And now speaking of offense, let's transition to the offense because this offense is crazy. I was just talking to my guy Josh about the other day. And he was saying that the times right now are so weird because us as Ravens fans, we could possibly be hearing. Oh, how is this team that the Ravens are going to play next? How are they going to stop the Ravens passing game? And just saying that out loud and hearing that is weird. And if if you are Ravens fan of old, if you are Ravens fan that's new, it would be weird either way because when have you ever under Lamar Jackson, under Joe Flacco, even under any of the quarterbacks that came before Cowboy or Steve McNair? The long list, when have you ever heard about somebody that they are going to have to stop Ravens passing game? Not even in the in the playoff run in 2012, what they say in that? So it's that's just a thing that's that that sound is a sound of beauty. Now, with the offense, this is a chance for the offense and to get coats coats, don't take any offense because it ain't got nothing to do with you, nothing. But this could be a game or this would be the game because it has to be because it can't go past this. This is the game where the Ravens have the opportunity to break the rushing record for most games in a role with over 100 rushing yards. You know, it's going to be in the back of their minds. You know, they're going to be thinking about it. And you know, they're going to try to get it.  Please don't take it as anything against you. It's not. Shout out to Vic Angriot. Anyway, Lamar Jackson in this game, how about we we we run it back from last week to where we play mistake free football. Now, somebody in the comment section, they said, because I talked about how Lamar throughout the entire game, he made great decisions. But I said, except there was one where I didn't like it, where he threw in the traffic. Sammy Watkins, he caught or he almost caught it. But then I think it was Stearns. Stearns, the Broncos safety, Stearns or Simmons, one of those two, both of them great safeties, by the way, one of them knocked it out of Sammy Watkins hands. So they did. Sammy Watkins made a great play on the ball, but the safety made it even greater play on the ball in completion. And I just felt like that was a bad decision. It was all that traffic.  Now, I got to disagree with you, which you say that's a bad decision. It was like, hey, it yeah, it was a risk. But Lamar put it where it needed to be. And Sammy Watkins just got to come down with it. It wasn't even it wasn't close to being an interception. It wasn't almost picked off anything like that. And it wasn't. So I had to agree because it wasn't. So yeah, it was a risky throw, but the risk paid off right there. Well, it could have because if Sammy Watkins just came down with it, then it would have been a crazy major play. But shout out to Lamar for just the Hollywood called him precise. That's the word he used to describe Lamar Jackson. He called him precise. And OK, I agree with that Hollywood. He has been pretty precise. His decision making has been good for the most part. And he just he's been he's been doing this thing. Of course, over the past couple of games, the passing yards have went up. And he and this Ravens offense have shown like, OK, you slow down the run. We got something for you. We still got something for you. So we hope that Lamar will continue that and something that played a big role in the game last week for the Ravens overall, which I think made a huge difference. And we talked about it too. I said the first game that they do that they're going to win by double digits. And it happened. They didn't turn the ball over at all. And that's so important. They did not turn the ball over at all. And when you don't turn the ball over, that usually plays in your team's favor. So that was great. And then they forced the Broncos to turn over, even though it came at the very end of the game. They stayed the Broncos turned it over. I mean, that turnover was going to make a difference in the outcome, but it still happened. So Lamar just continued doing your thing. Hopefully his back ain't too sore. I know some people felt like he wasn't as explosive as a runner that he normally is. Maybe he was dealing with that sore back. And hey, who knows that that could have been the case. But I think that back if his back was sore going into the game and definitely coming out of it, it was even more sore because then Broncos were taking them cheap shots. Them cheap shots like, oh, Broncos, what are you all doing? But he I expect him to continue me, continue doing what he's been doing. And then another thing that's been nice with Lamar, too, is that he's been getting different guys involved, too. Because all this offseason, there was all this talk about Pro Shader's, Pro Shader. Oh, Pro Shader is doing this thing. Pro Shader, he's going to make the roster.  The oldest Pro Shader, Pro Shader's and Pro Shader. But there were people that were like, hold up now. Training camp is cool. Preseason is even cooler, but let's see it in the regular season. And Pro Shader, through the first three weeks, he had got a couple catches here and there. But it wasn't nothing crazy. But in the game against the Broncos, Pro Shader got to show who Pro Shader is. And it was nice to see him get involved. Now, it's not going to be like that every game. Every game is not every game, not every receiver is going to be involved. We know that. But it's nice that you can go to your arsenal. You can go to that backup. And it's like, OK, they got some reliable hands. Let's get it. Duvenay even caught a catch. And of course, Hollywood and Sammy Watkins, we expect him to continue to do what they've been doing. Hollywood, literally all season long, he has been open all season long. He has been wide open and we love it. So Sammy Watkins has just been a huge part of that. Now, from both of those two, the drops. Let's cut them out.  Sammy Watkins, he hasn't been putting up crazy numbers, but he's been making some great veteran plays every week. He makes some great veteran plays. Continue that. Let's cut the drops out, though, because every week he has some drops. So let's cut those up. But he's been making some nice plays, man.  It really does. I mean, they they technically are because they against all these AFC opponents. I mean, besides the Lions, but it's been feeling like I don't know if y'all got the same feeling, but it's been feeling like every Ravens game is a big game. Everyone. So this game, Mark Andrews come through, big dog. Come through. You've been making some nice plays over the past couple of weeks. Keep that streak going, my friend. Keep it going. Because he started to wake up in the Chiefs game and in the Raiders games, a little bit quiet, a little bit quiet. No, Lamar did miss him on a deep bottle. But in the in the Raiders game, he's a little bit quiet. Then he had that big drop with Jonathan Abram. Just Mark Andrews. Lamar put it on the money. Mark Andrews said, Jonathan Abrams. And then we all said. But in the Chiefs game, he woke up and he started coming through. Then against the Lions did the same thing against the Broncos. He had a good game, too. But let's keep it moving, Mark. Big money, Mark. Money bag, Mark, whatever you want to call it, man. So shout out to Mark Andrews. Offensive line. Who, boy? Who, boy? Bradley Bozeman. You have been graded. I think he has a 100 percent win rate when it comes to the past and when it comes to run blocking. Wow. So keep that up. And also let's make sure that that guy before his buck turn. Yeah, he's pretty good. So Bradley Bozeman, you do nothing but keep it up now. Excuse me. Somebody who I've been extremely surprised with. And again, initially, when he was moved to this position, I was scared. I'm like, man, it's got smaller. He got these short arms. He ain't going to be able to do that. He ain't going to be able to play no tackle now. Patrick McCurry. I owe you a huge apology. You have been proving me wrong. And I have. I am so glad to be wrong. So glad to be wrong on stuff like this. I love it. I love it. Patrick McCurry has been doing such a phenomenal job, such a phenomenal job. And he's been going up against some stars and like even last week, all von Miller had, I think was a QB hit and that was it. Like that's it. Like, man. So this offensive line. Another week, another opportunity to jail, another opportunity to click. So hopefully they get things rolling because they've been they've been up and down last week and past blocking up and down. Last week and run blocking down, down and up like that. So hopefully this week, this can be a bounce back week for them because they could definitely use it. They could definitely use it like big time. One of the last but not least my boy, my Twitter profile picture, Giro Greg Roman. Greg, going into this season, there was a lot of question about Greg Roman and a lot of us felt like he was not necessarily on a hot seat. But again, that them cheeks were getting sweaty. They were getting sweaty because of what the Ravens did and who they brought in that really puts the pressure on Greg Roman.  We're going to bring in these guys that specialize in this area and that area somewhere where you have not specialized in your job. That's pressure right there. That's pressure. So when they brought in Kiki and they wouldn't when they brought in TT that put pressure on Gigi. So he's been responding to it. And obviously you can see the impact of a Keith Williams and a T Martin on this offense. It's been a big impact. It's been an immediate impact. And it's just paid dividends in a crazy, crazy, crazy way. So with that being said, Greg Roman, continue to do what you've been doing. And I love how Greg Roman has been adjusting team, decide, oh, you know what?  We're going to take away the Ravens run game.  Greg Roman like, oh, okay. Oh, wait a minute. I do got another plate sheet over here. Yeah, we got some good passes over here. Oh, you know what? Let's use that this time. Over the past couple of years, I don't know if they've been using it, but they were like this here. Let's use it now. And we love it, man. Greg Roman has been doing his thing. So keep that up. Let's continue. And again, just hopefully the team just plays a complete game. Offense, defense, special team, all three phases of the game have a positive impact. And they just really just take it to these coats on Monday Night Football at the crib. I do expect the Ravens to win. I expect them to win. I think I said 34-14 or 34-17, one of those two. But I expect them to win convincingly, decisively. I just expect them to take care of business. This coach team is definitely, they're suffering, it is any given Sunday. In this case, any given Monday. So you just never know. But I do expect them to take care of business. So coach gonna bring it though. Because coach, they are fighting for their season. They are fighting for it. Because if you drop to one and four, it's like, ooh, you start looking around at people.  And you're like, ooh. So we'll see how this thing goes. Anyway, I love y'all, Team Cupid Clean. I appreciate y'all and we out.


In the previous lecture video, we learned about what it means for a matrix to be in echelon form or row reduced echelon form was also discussed. And this is very important when one studies an augmented matrix such as the augmented matrix you see here on the screen, as we've also learned augmented matrices in code systems of linear equations. And so if a augmented matrix is in echelon form, I want to show you what that says about the associated system of linear equations. But let's first check, double check here to make sure that this matrix is in fact in echelon form like I talked about. Now to be in echelon form, for an augmented matrix, you only look at the coefficient matrix, you can care less about this side right here. Again, for determining whether it's in echelon form. If there's any row of zeros, they should be at the bottom, but there's no row of zeros in this matrix. So we go to the next one. Look for the leading entries. The leading entries are sometimes called the pivots are the first nonzero number in a row. And I'm going to draw a box around them to highlight them. So to be an echelon form, these pivots should be forming a downward staircase as you move from left to right here, which is where the name echelon comes from. It's French for staircase in that situation. And likewise, the numbers below the pivots should be zeros, which is exactly what happens. So this matrix is in fact in echelon form. Now it's not in row reduced echelon form, which remember to be in row reduced echelon form, you have to be in echelon form. But you have to also satisfy two other conditions. The pivots have to be one, which they are. The problem is the numbers above the pivots have to be zero, which they aren't in this situation. That's okay though, because if an augmented matrix is an echelon form, it turns out we can very easily solve the associated system of linear equations. So if we take this matrix and put it back into a system of equations, note that each row of the matrix represents an equation here. And our variables are x, y, and z here. So the first row gives us the equation that 1x plus 1y minus 3z is equal to 2. The second row then tells us that 0x plus 1y plus 3z is equal to negative 2. Now I'm not going to write the 0x right there, there's no reason to consider it. But then we get a y plus 3z is equal to negative 2. And then for the last row, you're going to get 0x plus 0y plus 1z is equal to 1. And so we get the following matrix right here. Notice that because of this staircase of zeros, there's a big gap that shows up in this system of equations. This gap is actually quite wonderful for us. Note, look at the very last equation, z equals 1. Hey, I know what z is supposed to equal, it's supposed to equal 1. Now if this coefficient was something other than 1, let's say it was like able to like 2. So you get a 2z equals 1. That's not really worse. I mean, could you divide both sides by 2? You get z equals 1 half. Sure, your answer is a fraction or a decimal, whichever you prefer there. But my point is, you can easily solve the equation if there's only one variable. It's just a regular linear equation. We've learned how to solve those before. Super simple, super nice. And so because of all the zeros inside that row, the last equation has only one variable and we can solve for it. In this case, because the coefficient was 1, it was solved for immediately. Now, thinking of the substitution method, if I know that z is equal to 1, look at the equation that's above it, y plus 3z is equal to negative 2. That equation only depends on the y and the z, but I know what z is. So if I were to substitute in z equals 1 into the second equation, I could solve for y. And let's do that here. Let's take the equation y plus 3z is equal to negative 2. We're going to move the z to the other side so we get that y is equal to negative 2 minus 3z. And then substituting the fact that z is equal to 1, we get that y is equal to negative 2 minus 3 times 1, which of course is negative 2 minus 3, which then gives us the negative 5. So because we knew z and we have an equation that depends only on y and z, we could substitute z into that equation and solve for y. So we get that y is negative 5 and z is equal to 1. Now look at the first equation, x plus y minus 3z equals 2. I know that z is 1. I know that y is negative 5. I could substitute those values into the first equation. Then I only have one equation, only one variable I don't know, which is x, and we can solve for x in that situation. So again, move the y to the other side, move the z to the other side. So we're going to get that x equals 2 minus y plus 3z. Now y is equal to negative 5. A negative negative 5 is in a positive 5. It's a double negative. And then here, z is equal to 1. 3 times 1 is equal just to 3. And then adding these together, 2 plus 5 is 7 plus 3 is 10. x is then equal to 10. So if I look at all the numbers I discovered, x was 10, y was negative 5, z was 1. That then gives me the unique solution to this system of equations. And so by having a matrix which is an echelon form, I could actually very quickly solve the linear system using a method which we call back substitution. So it's like the second half of the substitution method. The substitution method is you, once you start finding out values, you should start plugging them back in to figure out the other things. If you have a matrix with an echelon form, you're ready to do this back substitution, which is actually a fairly simple straightforward process. So that's actually pretty awesome. If a matrix is an echelon form, we can solve the system of linear equations. And while this example has three variables, there's nothing that requires it be 3. If I had five variables for which I knew one of them, and then I could substitute it into the next equation to find the second one, then I could substitute those into the next equation to find the third one. I could then substitute those into the next equation to find the fourth one. I could then substitute those into the next equation to find the fifth one. I could keep on going and going and going. This strategy of back substitution will solve any system of equations so long as the corresponding augmented matrix is an echelon form. Okay. This is an example of a linear system which has a unique solution. So this was consistent and independent. What about some of the other cases? Consider the following augmented matrix this time. So we have 1, 0, negative 5, augment 1, 0, 1, 1, augment 5, 0, 0, 0, augment 0. If you were to look at this matrix right here, okay, this matrix is in fact in row reduced echelon form. Look at the leading ones. They make a downward staircase. The row of 0 is at the bottom. The leading ones are actually ones. We have zeros above and below all of them. This matrix is in row reduced echelon form, RREF. If we were to translate this RREF into a system of linear equations, we get the following right here. The first equation will become that x minus 5z is equal to 1. The 0 means we can omit the y. The second equation then tells us that the second row tells us we're going to get 1y plus 1z is equal to 4. Again, we can ignore the 0 because 0x doesn't do anything. And then the last equation here says that 0x plus 0y plus 0z, which just simplifies to be 0, is equal to 0. This last statement here is an identity that our totality was the other word we used here. This is a statement that's universally true regardless of what's happened with the variables. It turns out it places no restriction on our variables whatsoever. This is exactly the dependent case that we were considering beforehand. That is, there's infinitely many solutions to this. And in fact, I can describe the general solution very easily. The general solution will come about by moving the non-pivot column to the other side. There was a pivot in the first and second columns, which actually translates to mean that x and y are going to be dependent variables. The pivots in your matrix give you the dependent variables. On the other hand, the column, which is not a pivot, it doesn't have a pivot, the z column, this turns out to be our free variable. And we can then describe the general solution using that free variable. So notice I can take these equations, rewrite them. The first equation, x minus 5z equals 1. This tells me that x equals 1 plus 5z. The second equation tells me, if I solve for y, that y equals 4 minus z. And therefore, the general solution to this system of equations then will be 1 plus 5z comma 4 minus z comma z. Like so, every solution to this linear system will have that form. You can choose any real number for z that you want, but then once you choose the free variable, the dependent variables will then become assigned based upon that choice. And because the matrix is in row reduced echelon form, the system of equations is already solved. And I can even describe the general solution in the dependent case very, very nice. So it's like, wow, row reduced echelon form is nice. If you have an augmented matrix in row reduced echelon form, you have solved the system of linear equations. So we've talked about the independent case. We've talked about the dependent case. What about the inconsistent case? Well, this look, this matrix here, it's basically identical to the matrix we just saw a moment ago. The first two rows are identical to what we saw here. But I made one small change in this last row where you have rows zeros. I actually changed this zero to a seven. So what does this tell you about your system? Well, the first equation is still x minus 5z is equal to one. The second equation is still y plus z is equal to four. But the last equation is now a contradiction zero equals seven. There's no assignment of the variables that can make zero equal to seven. And because of this contradiction, that means we actually have no solution. The system is in fact inconsistent. So if a matrix is in row reduced echelon form, and it's inconsistent, the system, we can detect that. If we're in the dependent case and the matrix is in row reduced echelon form, we can detect that and pull out the general solution. And if we have the independent case, that is, there's a unique solution. If the matrix is in row reduced echelon form, we can grab the solution with no effort whatsoever. But even if you're not in row reduced echelon form, if you're in echelon form, we can readily find the solution. So a matrix in echelon form or row reduced echelon form is basically solved. The row reduced echelon form is exactly solved. And so this is why we care about augmented matrices being in echelon form. echelon form, particularly row reduced echelon form means we've solved the problem. So if I can take a matrix and transform it into row reduced echelon form without changing the solution set, then that is a method that solves the system of linear equations. And that method is known as Gaussian elimination, for which we'll start to learn how to do that in the very next video.


I have recently tested Instant Coffee Mix with Lionsman and Chaga made by Forstigmatic. How does it taste? How does it feel?  I've tested it out for a few weeks and here is everything you need to know about this product. Hi friends and welcome to your Inception's YouTube channel. My name is Greg Gostingar and on this channel we are on the hunt for the best products, Nutropics and supplements to boost brain performance. If that interests you then be sure to subscribe and hit the bell for notifications. Let's talk about this coffee mix with two potent mushrooms. Now I've been researching Nutropics for long enough to know that such products are quite trendy nowadays. Many people are trying to stir off coffee and find a healthier alternative and Forstigmatic is one of the first brands that started offering their solution a few years ago. But the question is how much do you actually gain by drinking this instant coffee to a normal cup of coffee or maybe taking Nutropics? Well, let's find out. By the way, what's your favorite coffee alternative? Let me know in the comments section below. Okay, let's start with the main benefits of this specific product.  If you know anything about coffee or Nutropics, you know that they promise to do the same thing. So why would I choose this specific product which is way more expensive than standard coffee? Well, because it contains two potent medicinal mushrooms, Lyon's mane and Chaga. Now Lyon's mane is one of the most popular Nutropics due to its potential effects on boosting cognition. Multiple studies show that supplementing Lyon's mane can reduce anxiety and depression and improve cognitive performance. Now you can click up here to learn more about Lyon's mane. On the other side we have Chaga, a potent antioxidant that may also help with stress, anxiety and even inflammation.  But does that actually happen? Well, here is what happened during my test period. By the way, are you on the lookout for the best Nutropics to boost your brain performance but don't know where to start? Take a look at our free Nutropics quiz linked below to get personalized recommendations that will be the perfect choice for you. Well, I've been experimenting with this instant drink for a while to see how effective it really is. Now before I talk about its taste, let's first mention the effects. Now, by taking one packet you'll consume about 250 milligrams of Lyon's mane, about 250 milligrams of Chaga and about 50 milligrams of caffeine. Now if you're not used to drinking caffeine or taking it in a capsule form, you should experience quite a strong boost in about 15 minutes after drinking. But if you're used to drinking coffee, then of course the effects would be milder but still noticeable. Now I was quite positively surprised by the effect, my focus and energy increased and my mood improved. The effects lasted for about two to three hours which was quite okay. Now the problem was that the only effect you get from this product comes from caffeine and not the mushrooms. Sadly, Lyon's mane is quite ineffective for short-term use based on all the data available and the same goes with Chaga. Sure, both Nutropics are very good but mainly for long-term use. So basically all the effects you're gonna get come from caffeine. So for some this product will still be a game changer but for others it just won't do enough. However, this instant mix has one big advantage to coffee. I never really experienced any side effects that I usually experience with coffee. So I wasn't nervous or anxious after drinking this instant coffee mix. Why is that? Well firstly, because the amount of caffeine is about half the normal dosage and secondly because what Chaga seems to do is to offset some of the side effects of caffeine and that's a big advantage of this supplement. Now about the taste. Okay, let's try this instant coffee mix. Smells quite good, to be honest. All right, yeah, it tastes quite good. It definitely tastes like coffee, very similar but you can see there's like something else added in. I would never say there mushrooms in but it smells and tastes a little bit like it's burnt, not in a bad way. Well, how can that not be in a bad way? Well, but yeah, you gotta try it out and you'll see. It tastes pretty good, like instant coffee. It's not as good in my opinion as a typical cup of coffee you make at your home or you buy somewhere in a coffee shop but yeah, I think it's definitely drinkable much better than I expected. So thumbs up. So as you saw, I actually like the taste. Now when I first drank it I wasn't really sure about it but since I got used to drinking bitter drinks, the taste is quite good. Now if you're a coffee sommelier then this will probably not convince you in terms of taste but for everyone else it should be fine. But is this product good enough to buy it? And is it worth the price? By the way, if you like this video, please press the like button below. So one package like this one costs about $15 or $12 if you subscribe. However, you only get about 10 packets in it so basically a monthly dose would cost you between $40 and $45 which is not that affordable anymore. Now since there are only two added ingredients in Lion's mane and Chaga and none of them actually give you any short-term benefits it's hard to say whether this price is justifiable. On the other hand, most people won't experience any side effects of caffeine plus you get this drink in small packets so it's really perfect on the go and that's a big advantage. Now before we get to the final verdict let's check out the pros and cons of this product. Let's start with pros. First of all, it is portable so it's great when you're on the go. It contains less caffeine than a typical cup of coffee which is both a pro and a con. It contains two medicinal mushrooms and the ingredients are high quality. Now how about the cons? It is quite expensive for what you get. There's too low amount of caffeine for some people. It lacks some potent naturopics and the taste is not optimal. So who is this product for? Well if you search for a mild energy booster that delivers the effects of coffee without its side effects then this is definitely a product to try. It tastes good, it is convenient to use and contains high quality naturopics. If you want to buy it there's a link below so just check it out. But if you search for the most potent brain booster on the market then watch my next video up here. Thank you guys for watching and I hope to see you soon again. Stay well.


Well, there was a mild drama in Akiti on Wednesday. This was during the accreditation of automatic delegates ahead of the governorship primary election of the PDP. Trouble started when delegates from Idosi local government complained to Governor Udomi Manuel, who led an electoral committee from PDP headquarters Abuja. The complaint was that in names of some delegates from the local government have been removed and replaced with strange names. However, when the matter was getting out of hands, the security men around rough handled the protesters. Some of the governorship aspirants expressed their feelings about the whole process. I came to drop my letter that I was pulling out of the process. The reason is very simple. I am the only standing elected official of the PDP in this state and it has pleased our party to say that all the facts of two years where we were complaining about the hijacked congresses will favor one person and will go against me completely. We were just hearing from people, right? And when the accreditation team came, I mean when the congress team came, we were not even aware. They were not informed and they have been started accreditation. Normally the list of delegates is a issue or two have been published and made it public before this accreditation that was not done and that is not, that means the process is not properly followed. I think the process is moving through properly but there are a few skirmishes there and there. Some of them are being rectified and some of them are not. Some people's names are completely absent. I hope that the number of people who should be on the list that are not will not be significant enough. I hope but there are some little skirmishes. I don't, I'm not in for all those intrigues and so on that people are trying to do here. Everybody must behave well. If you don't behave, you find yourself in view this evening. So we must maintain discipline and everybody must be on the list. Have the authentic delegate list here. You can see it's stamped your national working committee. Okay? So you can see everything is stamped acknowledged. This is the list we're going to use. We're not going to use anything outside this.


Now we present Herbert Marshall as the man called X the Friday night feature on NBC's five-show festival of comedy music mystery and drama brought to you by RCA Victor world leader in radio first in recorded music first in television By Chesterfield always milder better tasting cooler smoking plus no unpleasant aftertaste and by the makers of Anderson for fast relief from pain of headache neuritis neuralgia Herbert Marshall as the man called X Wherever there is mystery intrigue romance in all the strange and dangerous places of the world there you will find the man called X Here's a word from RCA Victor inch for inch your best buy in television is RCA Victor 19 inch and your best buy in 19 inch television is RCA Victor superb new Hillsdale remember the name RCA Victor superb new Hillsdale and there's more to the Hillsdale's huge 19 inch screen than size itself Bright pictures clear pictures the steadiest pictures you've ever seen make this RCA Victor's finest console television set Extra powerful circuits a new picture pick up on the Hillsdale ensure best possible reception And of course all RCA Victor television is million proof quality proven in over two million homes Yes, the RCA Victor Hillsdale is impressive. It's luxurious 19 inch console television that's unequaled for value and performance It's a purlative entertainment a superlative instrument insist on RCA Victor and remember the name the Hillsdale be sure to see it and hear it and buy the Magnificent Hillsdale at your RCA Victor dealers The anna is a city where the past can never be forgotten For it constantly intrudes on the present a lilting melody can turn the muddy Danube to a shimmering blue again and the proud-faced Statues outside the chanbrune palace will briefly restore the Habsburgs to their toppled thrones But the present can never be completely erased.  I Had hoped you would come. Oh, I am sorry. I was expecting someone else What can I do? These are the reports from the commissioner's office in Vienna can I've been through him chief just words Bill home middle is dead and all we get is words But what can you expect in a place like that the city divided into four sectors in an international zone That's practically impossible to run down his killer and even if you did Don't forget the Russians have been trying to close down Mitter's newspaper for the last five years and chief The fry height was the last great free newspaper in Eastern Europe. Yeah, I know you've heard about the fight for his ownership Well, I did read something that it was two children fighting each other over the inheritance can drag on for months years And there won't be an issue published until it settled Can it's not the first time a brother and a sister got into a squabble over a will They weren't just a brother and a sister chief. They were closer to each other than than any two kids have ever seen People do change not that much. Let's take my life on it. Yeah Take a look at this cable. Hmm When will you visit Vienna again? Signed Maria. Yeah, it was simple than a few hours of a father's murder Chief I'd like to go to Vienna Sure again But it's hardly a matter of the bureau after all we go home. Mitter was my friend All right, all right, I know how you feel go ahead. Thanks. Oh, wait a minute What about Zell Schmidt taking him with you? Not this time. Are you sure? All right Suppose you were to tell miss Brooks that I'm leaving for Hong Kong what two to one you'll get reservations on the next plane for China so on chief Passing your seat belts, please We will depart from Idlewild Airport in about two minutes. Our first stop will be Shannon Ireland from there Just in a nick of time another minute not be rolled away with those steps out your name, please Hey, gone Zell Schmidt. I don't believe don't bother about finding me a seat. There's plenty of room here with my friend Glad to see me, huh, but listen, do you know what this characters in the airport told me? He said this this plane for Hong Kong didn't leave for another hour yet. If I hadn't seen you getting aboard This isn't the plane for Hong Kong You mean Let me out of here. Sit down. Take on but but if I'm going to Hong Kong with y'all, I've got to Oh, I get it. They put us both on the wrong plane. What a lousy way to run an airport But but yes, sir my friend here got to take up a Hong Kong by mistake I think you can exchange it for passage to Vienna Vienna. I believe so Fortunately, we're not overweight on this flight. He can remain aboard. Will there be anything else, mr Thurston? Sure, you're perfectly comfortable an extra pillow perhaps if there's anything at all Yes, mr. No, that's funny. What's the matter mr. X wonder why you call me first? I Was careful not to use my own name when I made this reservation I'd like to see Maria meter. I am sorry for a line meter is not a receiving visitors I'd be glad to tell her you called here person Ken person is Maria expecting you. Well, perhaps you'd better ask her that. Oh, of course forgive me. You come inside. Thanks I am who go all blends hero blends I'm a friend of Maria's a close friend if you will follow me down the hall to her room. Thanks Hero blends, perhaps you could tell me the circumstances of bill her middle of death Unfortunately, there is not much to tell Was three days ago and here meet us birthday. Yes. I know we had dinner the four of us here Maria her brother Rudolph and myself we were all to go to the opera later But her meter said some business had come up. He insisted we go without him. I see when we returned We found him at his desk dead his study had been ransacked anything in particular missing. No This is Maria's room Maria. This is her first and hello, Maria. I Can't tell you how sorry I am I understand. Thank you. Was there anything else, Mr. Testum? Hmm. I know you must be in Vienna on business. It was kind of you to drop by but I do not wish to keep you from me I work I'm in no hurry I thought we might have a little talk. Oh, what about what I Got a cable game yesterday, Maria and thought it might be from you So what reason would I have to cable you? It could not have been from Rudolph. He would have no reason either. Where is he by the way? No longer lives here. I Believe he's staying at the Imperial Hotel in the Russian sector. He is I'm afraid the Rudolph is very friendly with the Russians That's why Maria is fighting him for control of the newspaper. I see I May not see you again before I leave Vienna, Maria. So Maybe I'd better say goodbye now. Yeah Goodbye, Mr. Testum There's our man Pagan over in the corner of the bar. Uh-huh But who's that fancy dress character with him? He looks like he's going to masquerade. How can he stand up with all those medals? Yeah, the Russian major and full dress uniform. What's he doing here? Well, this hotel is in their sector They've taken it over. You mean you mean we're in the in the Russian zone. That's right Wait for me. I'll be right back Rudolph I do not believe I have had the best What are you doing here? Don't you know? No, I do not well Mind if I join you for a drink then major park often I was just leaving you will excuse us Do not be so impatient Rudolph. There is no hurry I am pleased to make your acquaintance mr. Thurston. I assume you are an old friend of Rudolph He knew my father that was all Wilhelm metter was one of the finest men I ever knew my father was a fool He lived in the past he had not sense enough to see the world is changing that we must change with it Important things don't change Rudolph do not argue with me first. You want to take a drink with us Here's a drink in your face Good off listen to me listen to you. Yes. Yes.  So I've heard you want conversation to you. All right. Let me give you some Get out of the end of this. There are too many Americans here already. Goodbye I They say it is we Russians who are crude and unblessed you see mr. Thurston how untrue it is And yet we are here to carry out the wishes of the Austrian people Whatever they may be So it might be wise to do as Rudolph suggested. No Does that come under the heading of a warning major or a threat merely a Suggested mr. Thurston. Oh sure sure You remember me the steward from the plane. Yeah, yeah, I remember you fine fine. I thought you would oh Oh, there's a telephone call for you. I happen to see you in the bar. Thanks. You can take it in that booth No, it's fortunate. I recognize you the desk clerk had no record that you're staying here. No matter that I'm not Oh, it's too bad. I always stop at the imperial between flights the accommodations are excellent wonderful cuisine Marvelous service and some of the finest people. Yeah, sure sure this booth. Yes Tell me will you be returning to America soon? Excuse me Hello Yes, Maria. What is it? I lied to you Maria. We will continue with the man called X in just a moment You see it in the newspapers. No unpleasant aftertaste. You hear it on the radio. No Unpleasant aftertaste you see it on television. No Unpleasant aftertaste when you smoke Chesterfield. It's the biggest plus in cigarette history Science discovered it. You can prove it science discovered that of all brands tested Chesterfield and only Chesterfield leaves. No unpleasant aftertaste prove it yourself Smoke a pack of Chesterfield. They're always milder better tasting cooler smoking and Chesterfield is the cigarette That leaves no unpleasant aftertaste. That's the biggest plus in cigarette history No unpleasant aftertaste science discovered it Prove it yourself By Chesterfield today How act two of the man called X starring Herbert Marshall with Leon Balasco was Pagan's elchemy The murder of Wilhelm Mitter becomes a link in the chain strangling the red Austrian newspaper at the fry heights And with the death of Mitter's daughter Maria a second link is forged The man called X stares grimly at the body of the murdered girl then slowly turns and walks out of the room I am to blame. No one else. I am responsible for it. You don't understand Mr. Thurston. I Told her to call you. I made her do it I knew she was lying to you before I could tell someone had frightened her Who was it or brands? She wouldn't tell Go on. She was standing here at the telephone. She saw something through that window. She started to scream There was a shot and you get a look at whoever did it No, not really. I think it was a man. I then to Maria carried her into the bedroom When I got back here, there was no one You've sent for the police. Yeah. Yeah at once This is your top coat you go. Oh, yeah on the rack here Must have belong to her meter Yeah, yeah, you remember now Rudolph and Maria gave their father a coach for his birthday present C Difficult to get anything well made in Vienna now Yeah Maria, where are you? Wait, I said out of my way. I Won't cry for her mr. Thurston. I'm afraid it would not be very convincing and After what happened this afternoon at the Imperial Hotel. I know Who you're trying to convince Rudolph made your buck off You mean he wasn't serious when he got so mad at you mr. Thurston. How about it Rudolph? I thought I was doing the right thing. I was fighting for control of the paper to say Maria's life I love her very much. I know you did.  Is that why you were playing up to the communists?  I want to ask you Rudolph The night your father was shot You were all going to the opera but something made him change his mind at the last minute. What was it? He said he had to work Seems strange at the time because played a mouse was one of his favorite. Yes, I remember While we were having dinner someone came to the door and asked to see him Little gray head man who said his name was Bach. Bach like the composer. Yeah. Yeah, that's how I happened to remember I Took his coat and asked him to wait the whole When I went back in the dining room to my father who it was he insisted her bar be brought in at once what then When he bar came in he suddenly seemed very confused. Uh-huh said he had made a mistake. He had come to the wrong house Dashed out of the room and left before I could even show him to the door Rudolph you go says you gave your power a new coat this birthday. What kind was it? Fine Camels here the delicate play design was an import from England. I see one more thing This is her bar. He was a small man with gray hair.  Huh? He tried to go mustache to cover it But the scar short full all right big arm a Short gray haired man with a scar on his upper lip a few days ago. He was wearing a camel's hair coat find him But mr. Thurston that's impossible. Well, we've got to find him And I guess the best thing to do is hire somebody in each of the different sectors higher waste all that money When I have cousins in all four sectors and uncle Fritzfeld in the international zone, okay? Then what are you waiting for but mr. Thurston? We haven't settled on a prize hundred dollars. You will find him by midnight ten dollars off for every hour after that What am I waiting for? Well, that finishes my report I am sorry to have had to keep you after the other authorities questioned you so long But my government is very much interested in this case. I suggest you report to my office in the morning Aroblance, but I've already told you everything major Marco major Business a matter for the city police rather than the occupational authorities, of course, mr. Thurston it was only a suggestion so There is no point in my staying longer and root out I'm sure the authorities and my sector will be glad to know that ownership of the fry height is now clearly settled And the assistance we may be able to give just a moment major. I Am publishing the newspaper myself without any influence from you or anyone else What's this once more the fry hide will print the tool as I did before my father was killed here Come in Well You hold me a hundred bucks good That means you found the man who called him here a matter just before he was killed with that. All right, Pagon. Let's go a Rudolph Get on down to your paper. Give me an hour or so and I'll have a bang-up story for you Story yes, you'll have to do the follow-up on it though. Remember Remember how Fred Walker handle the Anderson case Walker? Yes, the American reporter you remember Well, yes, yes, of course. Yes, I will follow it up. Good. Come on big one At the top of that stairs, Mr. X. He's been hiding there for nearly a week Don't even come out for food or nothing. No, but listen Why did you tell everybody back there all about I want to be sure the murderer would follow us the murder I think I'll I'll wait downstairs alone. Well, all right. You insist Mr. X. Yeah, who was that Fred Walker and what was the Anderson case? I am the famous idea Help back where your friends were here to help you Don't you know me Ken first and That's not it's a trick. He's an American listen I'm walking out under the light. I don't have a gun. You can see for yourself Well, I Must save me. I know I tell you once I tell everyone myself my country, but but now I have changed Yeah, I thought it would turn out to be you this your room. Yeah, please get inside Why didn't you go to the Americans when you got to Vienna? I was afraid they would hate me send me back to check a Slovakia to the Russians you ought to know it's better than that here flight. It's flight. It's but I thought this character's name Was Bach you worked with Wilhelm Mitter in the underground during the war They all took the names of composers. Yeah. Yeah You know what happened after the war. I joined the party I was secretary of the interior then then you found out he was still a check and the comments didn't like it They announced you were killed in a flight to Moscow, but you escaped to Vienna You went to Mitter for help. He had been my friend once. I Thought he would understand and he would have but at Mitter's house. You saw someone who frightened you It couldn't have been Mitter or his children.  Yeah, that's right It worked for the party in Czechoslovakia They sent him to Vienna to get information about Mitter. You knew he'd recognized you so you ran away You were in such a rush you took Mitter's coat by mistake and left your own here Now you will help me get to get to England or France I I do not expect America, but anywhere away from there. Good evening, Mr. Thospan hooker leave the gun on the tables flight. It's Better do what he says First then I must thank you and your friend for finding here flight. It's We've been searching the city for days. Your men can't be very efficient. You go in the long run We are efficient. Mr. X.  You can't keep it from coming out someday. We have met it so far Here Mitter was not permitted to publish this story major bark off to care of death and you took care of Maria Of course It becomes suspicious. So when I found her telephoning to you So now you will all accompany me to the russian zone now. Oh now wait a minute stand back You seem to forget that you are unarmed and I have this gun what you seem to forget is that this building is surrounded by an American Patrol American patrol. What are you talking about that message? I gave Rudolph about Fred Walker and the Anderson story was a tip-off Walker was a reporter who always called in the cops when he tracked down a scoop Mr. X you said that was out for yourself obelisk. It's pretty dark, but you can see men down there You're right Well, Hugo Maybe you better come along with us. No No You think I will allow myself to be tried by the American military police. You're wrong. I still have a chance I did give me a coat wait a minute. Do as I say and do not move any of you Here listen to me Hugo. There is a fire escape outside this window. It's very dark, but your soldiers will recognize the coast I'm sure you have told them about hair fly that's the point. I haven't I don't think the chance They will not shoot me wait you fool See what you are and make no sound I Try to tell you miss Rex the soldiers. They're Russians I could even see that major bark of an all his medals and they thought he was I yeah I had hoped I could store him and told the Americans where to dig it here. This is our zone If there's anything I can do to show my gratitude Sure there is give your story to Rudolph Mitter. I'd like to see them the next issue of deep-fly height I will be glad to I I think you have made the Rudolph's task very easy for him. Mr. No, I wouldn't say that have flight. It's It's never very easy here or anywhere else to print the truth But without a free press there's no real freedom at all You know Pagan That's a pretty good name deep-fly height Freedom our star. Mr. Herbert Marshall will return in just a moment If you would like to know a quick easy way to ease the pain of a headache neuritis or neuralgia Then by all means try anison Your own dentist or physician may at one time or another Append to do an envelope containing anison tablets Then you already know how incredibly fast and effectively anison brings relief Anison is like a doctor's prescription. That is anison contains not just one but a combination of medically proven active ingredients For your own sake try anison Anison is sold to you on this guarantee if the first few tablets do not give you all the relief you want as fast as you want it You may return the unused portion and your money will be refunded You can get anison tablets at any drug counter Anison comes in handy boxes of 12 and 30 tablets and economical family-sized bottles of 50 and 100 now here again Is our star mr. Herbert Marshall? Thanks for being with us and my thanks to Joan banks will write Stan Waxman Paul Freese Tony Barrett Frank Gerstle and Bob Bruce Next week Ken tangles with a couple of information passes behind the iron curtain where death and treasury March hand-in-hand And pay gone. Oh, he'll be alone too paid as usual by Leon Balasco So join us won't you when next I return as the man called X. Good night The man called X stalling Herbert Marshall is the Friday night feature on NBC's five-show festival of comedy music mystery and drama Brought to you by RCA Victor world leader in radio first in recorded music first in television And by Chesterfield always milder better tasting cooler smoking Plus no unpleasant aftertaste and by the makers of anison for fast relief from pain of headache neuritis Neuralgia the man called X is a J. Richard Kennedy production with music by Milton Charles The night story was written by Frank Burt all characters and incidents on this program are fictitious and any resemblance to actual characters or Incidences purely coincidental Be sure to hear the magnificent Montague with Monty Woolley formerly heard on Friday now brought to you as a Saturday night feature of NBC's all-star festival and until next week same time and station This is Jack Latham saying good night for the man called X William Bendick stars in the life of Riley enjoy it on NBC


In this training video, we're going to look at the use of the standard calendar and controlling non-working time for the standard calendar. In this example, we're going to use holidays and which are affecting the whole of an organization, i.e. Christmas, Boxing Day and New Year's Day. So these are the three holidays I'm going to add as non-working to the standard calendar. So whenever you're entering non-working time for a standard calendar, ideally you should do it before you enter any resources or any tasks into a project because then the non-working time won't affect the days within a calendar, the start and finish dates. It's not going to affect duration because project doesn't count non-working but it can affect the start and finish dates if you've already typed tasks in and you've got resources in. So the best time to add non-working time into a standard calendar is when there is no data entry. So that's the stage I'm at now. There's nothing been entered into this project. I'm going to use a feature called Change Working Time. Now this is the project tab, Change Working Time. For the standard calendar, now with project by default comes three calendars, the 24-hour calendar, a night shift calendar and the standard calendar. So the standard calendar settings are working to an 8-hour working day. So we can say under exceptions any part which is non-working for the whole of an organization, i.e. Christmas Day, Boxing Day, New Year's Day. So this is what I'm going to do in this example. I'm going to set three different holidays under exceptions. So this is what you do for an entire organization. Now if you are affecting a member of staff who had, for example, a sick leave, you would use the resource calendar exceptions which means non-working and you would put their sick leave against exceptions but that would be for a resource calendar i.e. HR Advisor. But in this calendar we're affecting the standard calendar. So I'm going to put in some exceptions. So Christmas Day, and that's going to be the 25th of December. So I'm going to go forward a couple of months. Okay, Boxing Day and again a couple of months and New Year's Day and again a couple of months. Okay, so what I've now done, I've set three dates into the exceptions which I know are non-working for the entire organization in this example. Christmas Day, Boxing Day and New Year's Day. So if I were to click on the Christmas Day I can now see the 25th is non-working. So it's telling project not to count this day as working. Boxing Day is the same, non-working the 26th, New Year's Day the first same and non-working. Now click OK and those three dates are now built in to the project calendar which will then look at any tasks working on over December it's not going to count duration because it's set to non-working. So this completes exceptions and non-working time for the standard calendar.


Today, I have the pleasure of speaking with Bernard Tourlan. How are you today? I'm doing very well, very, very well. Well, of course you are. I just read your news release, which is fantastic. You've had a $5 million funding commitment from a Taiwanese source. Is that correct? That is correct. It's a $5 million funding commitment over the next two years. It allows us to reach all our next strategic goal over the next two years to get ourselves in a great position. Okay, but I also read, I don't know if I read this properly, but it said that the deal includes an off-take agreement which will provide exclusive rights for these Asian investors over the next 20 years to market you to solar marketing or solar manufacturing companies in Asia, including China. Is this correct? That is correct. But what has to be understood is we're a small company, we're not in a position to have an immediate selling team in China. China is the big market. It's where you want to enter. So you want a strategic partnership with people that understand how to sell material down there. Second of all, everything is related to the building what we call the Generation 2 plant, which is a 2,000 ton per year plant. So the off-take agreement and the agreement is limited to the capacity of that plant. Everything else will have additional, will be negotiated between the two parties. So it's really limited to the first plant that we're building, which is what they're helping us finance and helping us to get started in rolling. Of course, it's substantial that a small rising star here on the TSX Venture Exchange is not only secured funding and a strategic partner. I'd like you to tell our audience a little bit more about this pyrogenesis technology that you have the exclusive worldwide licensing for. Okay, the PureVap technology, we call it the PureVap Corp vaporization reactor. What it does, it basically allows us to remove all the impurities in the quartz, including the oxygen, the O2, because quartz is SiO2, and what you need to make solar panels, ultra high-purity Si. And it allows to do that in one operation, in an efficient way, a green way, and it's much quicker. It allows a small company like us to be able to go directly from a mining company to selling the end product that is required to make solar panels. That's very, very in demand. All right, and just to clarify for our audience, it's my understanding this is going to allow you to, the PureVap, the pyrogenesis technology, allows you to become the highest purity, lowest cost supplier of solar grade, silicon metal, and polysilicon to the solar industry. Is that correct? Well, that's definitely correct, because right now, to make that material for the solar panel, the entrance material is what's called metallurgy grade silicon metal. And that sells right now for $2,750 a ton. So the starting material that every producer uses, causes them $2,750 a ton. In my case, I'm starting with raw quartz that I'm mining for my operations. It's going to cost me, what, 10 bucks, 20 bucks a ton. And I'm transforming it.  Okay, that's the only process I'm doing. But at the end, I finish with the ultra high quality. So it's not very difficult to comprehend that my cost should be equivalent to those of the silicon maker manufacturer while I'm producing the end product at the end. So I'm just eliminating completely a step and I'm eliminating a very, first of all, a very complex step, a very energy demanding step and everything else. So conceptually, when we prove that it works, and I'm not saying when it works, the reason why I'm saying this is because the science for this is very strong. It is known that you can take quartz, use plasma to make metallurgy grade silicon metal. It's a proven fact you can take metallurgy grade silicon metal, use the heat generated by a plasma torch to purify it up to six end purity material. That's been done. That's patented. That's done. It's also proven that if you put that material in an arc in a vacuum furnace and you submit heat to a sufficient heat enough to get all the impurities above silicon metal, they will evaporate. So when you combine those three material together, you're just combining three operations in one step. That's all we're doing. We're not reinventing the wheel. We're just building a better wheel. Of course, the plasma technology is very exciting. I know our audience is very interested in this. So you're not just an exploration company.  Is that correct or how would you describe your goal? I would consider us a green tech mining company in the sense that we start from the raw material from our properties. We push it completely up to the end of the value chain. That's it. We go all the way to the value chain because if we're just a mining company, then we basically are dependent from all the other manufacturers, all the other markets, if we can go all the way up to the end product. It's usually rare that you can do that because the costing of these things looks too high to do. But in this specific market, the costs are within what we look to be able to do and the profit margins are there to support it. Well I personally love the green tech mining angle. And so for all of us shareholders that are positioning ourselves behind Eurogold and I do, I would like to recommend to the investor Intel audience that they take a look at the management and board of directors for Eurogold. Can you tell us what we should anticipate for say the new year and the upcoming next quarter or two? We will continue to be pushing forward the development of the PureVap system with PyroGenesis. In Q1, what we're really shooting to do is to have the results of first test and produce for end material. Once that is done, then since we're fully financed, we'll be pushing for an accelerated path to build the test plan, the generation two plan to get that moving and running and demonstrating. Also in parallel, what's going to be going from Q1, Q2, Q3 ongoing is that with the generation one machine we will be developing and building samples to send to end buyers. So Bernard, I just want to congratulate you on behalf of the team of investor Intel on your $5 million funding commitment that you announced today and it was a pleasure getting a Eurogold update. Thank you. Thank you.


Rhaid i, mae'r cwethaf yn eu bod yn hyn yn lawer o'r institutions, ac mae'r ein ddaeth yn gweithio i'r gweithio'n gwahion i ddod y dweud yma. Ac mae'r cwethaf yn ei bod yn eu bod yn ei geinio. Rhaid i, mae i'n ddweud bod nid o'r cyflwyniadau ac ar eich eu diolethaf yng nghad приход o'ch wahanol ac cynnydd y llfaenydd yn deall. Ac oeddwn i'n edrych yn dod os ychydig o'r felIP ac o'r ffordd o fyfydd. Roeddwn i'n edrych yn gallu ei ddiddorol o'r bwysig cyrraeth, boi'n gysylltiadau dros rydyn ni o'n gilydd y taeth, ac mae'n tnw'n bnetwch gydig o'r bolig o'ch cyfrwg arddangos ond rydyn ni wedi'u cyflwynt. Mae'r sgwpethau yw'r ddweud yw'n ysgwrdd yna lle fyddai'r ddau. Rydyn ni'n gweithio'n ddweud eich ddweud, ond iddyn nhw'n gweithio'r ddweud. Yn y lawr o'r sgwrdd yna'r ffaisol yw Catherine Ashton, ond mae'r ddweud yna'n cyffinio'r bermau. Mae'r ddweud yn eich ddweud yn ymwylliant. I was myself involved in the EU as a foreign policy actor from about 30 years ago, I became the European correspondent more or less at the same time as Margaret Thatcher became Prime Minister in Britain. I lived through in that role and then in subsequent roles in which I still took an interest in what was going on in Europe, particularly when I was the head of the planning staff, and then when I was in the Cabinet Office and then when I was in Brussels. For me, the big things that I remember are the Venice Declaration, now 30-something years old, not yet implemented. The crisis in the 1990s in the Balkans, extremely well, actually a big European failure. I'll come back to that in a second. The second crisis, another big European failure on Iraq, and then I was myself involved in different ways and different times in the negotiations with Iran, as Mari mentioned. But it forms for me a substantial part of my past as one, those for me are some of the kind of the big moments. There's one which I missed because I came too late to the European Union that's worth mentioning and that's the Helsinki process. I don't know if anybody is as old as me and remembers it, but this was actually a remarkable moment in the history of European policy because if you read the story at the time, you'll find that the whole process was being rubbish by Henry Kissinger, who thought that detente should not be organised by large numbers of people talking to each other, but by personal conversations between him and someone in Moscow. Actually quite a lot of the time was trying to close the operation down and there was a remarkable degree of European unity in it and what happened at Helsinki, in particular a lot of the things that went into basket, three human contacts and that were actually only there because of a united European position. Which was really a remarkable beginning for European foreign policy and I'm not sure that much we've done after it has really been as successful as that, though there have been and I'll come to one or two of what I think have been some important successes. That was a little bit about the past. On the strengths, I think that first of all one ought to understand that the EU itself represents a kind of statement and that has its own impact that now 28, but at previous times, when my country and yours joined nine and then later on 10, 15, 16 countries who for about a thousand years one way or another have fought each other to work together in such close collaboration is something that is an unmistakable and important phenomenon on the world scene. And I mentioned the failure in the Balkans in the 1990s, but this was although it was a failure, although there were many things that we got wrong, actually even through this people continued to talk to each other, try and look for ways forward, intense and acrimonious debates went on, but they went on. Very different from what happened about 80 years before, first in 1913 and then in 1914, the second Balkan war and then the events that led up to World War One. If you want to know why World War One happened, well, it's very complicated, but there was actually there was a general system failure and that system has changed completely that even when the European Union was not doing well in the Balkans, even when there were lots of divisions and disagreements, nevertheless there was a much closer understanding between everybody else than there ever has been before. And that still seems to me to be an extremely important fact later on and I'll come to that, we actually have done, I think we have done quite well in the Balkans subsequently, but I'll come back to that in a second. So the existence of the EU itself matters. Second, the most powerful, if that for me is a kind of political miracle, the second political miracle that's come out of the European Union has come with the great enlargement to the east in following 1989. What happens normally after a revolution? Well, the answer is you get a civil war. You can see a whole series of countries in which this has taken place. If not an actual civil war you do not normally get an immediate establishment of a democratic regime. Normally what you get is some combination of Robespierre, Napoleon, Lenin and Stalin or as I say some kind of civil conflict and you see that now in the Arab Spring countries in many of them at any rate. So that this did not happen in Central Europe after 1989 is historically highly unusual and the European framework which includes NATO as well as the European Union. The European framework was central to that and I think in some ways it may have misled some of the more enthusiastic neo-cons in Washington who began to think that all that you needed to do was not addicted to it. You can see that NATO over and then democracy would flourish. I think that it happened in Europe is a result not just of this thing but of very many things. There's a lot of history as well and actually this was one of the important results of Helsinki was that there was a recognized leadership of people opposed to the regimes. That perhaps is the most important result of Helsinki. But I think that the European framework or Euro-Atlantic framework played an enormously important part in it as well. We also see this and now I come to the kind of recovery story in the Balkans. After the failures of the Balkans in the 1990s or rather towards the end of the 1990s the European Union concluded that the only way to deal with the problem was to be ready to accept these countries as members when they met the required standards. That has made an enormous difference in the region which is now the work is not finished by a long way but in most countries is now doing much better than it was before. All of the successes are partial but there was one important success around about the year 2000 which is not much noticed by anybody. It actually coincided with the arrival of my boss Javier Solana in Macedonia where an extraordinarily small NATO force was deployed actually without the Americans because they didn't want to have anything to do with it. But we and others were afraid that there was going to be a war there too. A small NATO force was deployed rather to reassure than to do anything else. Then there was a negotiation conducted by Javier Solana with support from the NATO Secretary General George Robertson which ended up in the ORID agreement amending the constitution in Macedonia. So far touching wood that has maintained the peace in that country. More recently you will have seen that the negotiations which I was involved in the preliminary phase has been brought to, I wouldn't say a conclusion because those involved in diplomacy will know that there's never quite such a thing as a conclusion. But has been brought to past an important stage by Catherine Ashton and there's an agreement between Serbia and Kosovo reached after a remarkable process in which she had dinners with the Prime Minister of Serbia and the Prime Minister of Kosovo about ten times I think and allowed them to talk about there how they saw the world and eventually out of this produced an agreement which I hope very much will safeguard the future of the Serb community in north of Kosovo and will enable the two countries to live together in the future. This is still not over, nothing is as I said over. Actually there are elections coming up in the beginning of November as the first round of elections and last this week already there were more negotiations about the conditions under which Serb politicians might go and encourage voters there to participate in the election. So each of these things which sometimes gets a line in the newspaper has normally got behind it all kinds of issues which you never hear of and many more hours of discussion of things that you wouldn't believe. So there's always much, much more work than you see in what seems to be sometimes a simple and obvious result. But for me that also is really a remarkable success. That's connected to enlargement. There's no doubt about it. Serbia has made up its mind that it wants to be a member of the European Union. This is an extremely big prize for countries in the Balkans which are poor, which desperately need investment. It's an extremely big carrot for both Serbia and Kosovo. But it's also, and this comes to the third thing that I think of as a strength, it's also a demonstration of what can be done when the European Union as a whole operates together and with the different institutions as well. There's no doubt in this case that collaboration with Germany was very important. But also as far as I was concerned, collaboration with the Commission was very important. And in some, one particularly difficult issue is connected to the management of the border. And the Commission provided extremely important support in resolving the problems now. What's it called? Integrated border management I think is what it's called. I should say by the way that this in the Serbia-Kosovo documents is referred to as IBM because if you're Kosovo you describe it as integrated border management. If you're Serbian you describe it as integrated boundary management because you don't recognise this as being international border. And these kind of problems crop up everywhere. But if people want to solve them they can all be solved. And this was, for me this was not just an effort of the European institutions, it was also a collective effort of the European institutions and the member states. All the more remarkable because five of the member states don't recognise Kosovo. Fundamentally divided European Union on this subject and yet it has produced I think a very positive result. Personally I thought that I didn't, I never minded the fact that there were non recognisers provided they interpreted non recognition in a flexible way. In some ways it was almost useful because when you had people who were on the Serbian side of the issue combining with people who were on the Kosovo side of the issue collectively saying to the two sides you got to agree. That was a message which was very difficult to resist. So I think the third strength is that I think that when you can get that miraculous thing and everybody works together the EU is potentially enormously powerful. And I mentioned a couple of other examples of that which are recent. One is a slightly complicated one and I won't go into too much detail but I wouldn't say that the EU has succeeded in Somalia. I think anybody is a lot where we and everybody else is a long way from anything you can call success. We have succeeded with others in very sharply reducing the amount of piracy of the Somali coast. We have succeeded in reducing the number of pirates. The EU operation when I was way back in my past when I was working in the Foreign Office people sometimes said to me what's your ambition for the European Union. And I used to say perhaps not completely seriously well I think we ought to have a fleet in the Pacific. Well we haven't made it to have a fleet in the Pacific but we have a flotilla in the Indian Ocean. And what's even more remarkable for an organisation which is basically rather peaceful organisation and is not very warlike is that the task force in the Indian Ocean actually has got tougher rules of engagement than the NATO task force as one of those as well. And it has executed one attack on the shore. It didn't kill anybody but it destroyed a lot of quite expensive equipment and discouraged people very strongly in the idea that actually piracy was a profitable business. But more than that the other things that the European Union has been able to do is it doesn't just have ships. It has an effort to support the transitional federal government including training some of its military. It has a very substantial aid effort indeed and even it has arrangements with some of the literal states for trial and if necessary imprisonment of captured pirates. And all of those things you can do partly because of the fact that the EU has got relations with all these countries and aid budgets. Also because some of the member states have got very useful relationships as well which they can use in trying to set up these arrangements. So all of those things the EU's capacity to operate in a number of different fields. It's definitely not a military organisation. It's a political organisation which occasionally has the possibility of military activity. And for me that's the right way to do things to have a political lead and we now happily have a special representative in Somalia who's creating a political programme there. So I regard that as being another example of what I said. Together the EU can actually be a powerful body. The second example that I mentioned briefly because is the Middle East. Not an area in which we've had really much success. The Venice Declaration was important. It set a new course that was eventually been adopted by more or less the whole international community, the two state solution, the whole international community except Israel. But really rather little has happened in this area except of course that the building of settlements has continued. But I was very struck last year when the EU had what seemed to be a failure in that we looked extremely disunited at the United Nations on, someone else will remember the technicalities of it, on it was a kind of higher grade of recognition of the Palestinian authority at the UN. And there was a three way split in the EU, looked very unattractive. But if you look at the EU conclusions in December after that which even so provoked a rather angry reaction from Tel Aviv, if you look at the conclusions in December after that you find unanimity from the European Union on the question that if there is further building of settlements in, now I better not quote the zone because I may get it wrong. I think it's area C but don't consider that to have a question mark after it in the record that the EU would be ready to take very serious action. Well I won't go into the story of how that happened but you find that for those who know the Middle East this was an important step. What got the headlines was the division in New York but actually what was much more significant was the agreement in December. There is of course with 28 member states there is of course a wide variety of views. I don't think that's necessarily a bad thing. I was talking a little bit earlier to three or four of you about the EU's policies on Burma over the long period. I don't think that our policies were bad. Actually what the policies represented was they represented compromise between those who wanted very fierce sanctions indeed and those who thought the right policy was engagement. What we did in the end this was following a number of things but in particular following the killing of peaceful demonstrating monks in the streets of Yangon in 2008. What we did in the end was we had sanctions which were not trade sanctions. Nothing like the sanctions which the United States employed which were extraordinarily tough. Somebody I know their son on a visit there from the USA made the mistake of using a credit card to buy a book from Amazon while they were located in Myanmar. Then when they got to Thailand they found every card they owned had been cancelled. That was US sanctions. EU sanctions were much softer than that and were really more symbolic than real. At the same time in recognition of the fact that this was an extremely poor country suffering from a number of grave humanitarian crisis we also had aid programs at the same time operated through NGOs rather than through the government. So you could either describe this policy as being a complete mess or you could describe it as being and that's how I would do it as being a constructive compromise between two approaches each of which had something to offer. The other way in which I find myself actually working in the European Union I find the variety of people and opinion is a kind of extraordinary opportunity. For example working on the Balkans at different stages the team included I'd been a member in particular well so very close friends with a colleague from Italy, colleague from Greece and the lady from Slovenia. Lady from Slovenia of course spoke the language very well. The colleagues from Greece and Italy these are people who live in a society which is much less ordered than Britain is. As a result it seems to me always they have a much more acutist understanding of power in a place like the Balkans than I and northern Europeans sometimes do. So I think the variety of the European Union is also a strength. I wanted finally to say on the side of strength I'm leaving too little time for the weaknesses so I have to run through those very quickly. Finally I wanted to say on the side of strength I think even from the days when Marie was involved in it and I was involved in it I think that the political and security committee has grown in strength. When I talked to some of the colleagues in the political and security committee recently about some of the difficult issues that they dealt with issues on which you wouldn't expect there to be a consensus like Kosovo, like the Middle East, like indeed military action in Somalia. A lot of them said well actually their instructions were increasingly not kind of things which arrived from Dublin they were a process of negotiation and the way in which opinion was going in the political and security committee was increasingly important. The political and security committee is I think a much more important act now than it was a few years ago and that potentially is a strength. Weakness is I'll go through those rather quickly. The weakness is a lot of the time have had to do with machinery. The OSCE, the CSE it was there, the Helsinki process was a process remarkably well suited to the European Union at that time because it had no machinery. It was just a bunch of people trying to agree with each other and they managed to on this case and it was a conference and it was all about words and they were extremely useful and had a very important effect. Words were fine and their Venice decoration also was words but turning that into action following it up systematically there was very little machinery for that. The presidency which was and is a wonderful institution and I have very fond memories of being in Dublin and in other parts of Ireland during Irish presidencies. The presidency had a lot of advantages but it's not a very good piece of machinery if you want to pursue policy relentlessly over the years which is what you need to do in a lot of foreign affairs. So in particular one of the real crises in the Balkans was even if the EU had had a policy in the 1990s which it didn't the wouldn't have been machinery to implement it. Well the machinery that we have now is far from perfect but it's a lot better than it was. The second thing that has to be said of course is I've said when the EU comes together it has real strengths but there are lots of occasions when I'm afraid it doesn't come together. For me Iraq was a really big failure and perhaps that's an example of a general class of failures which is that the EU is not very good at dealing with great powers, super powers. It's not very good with China. It's better with Russia now than it was and the commission has played a very good role in that. It's not very good always with the USA particularly it's very good at agreeing with the USA but when the real need to disagree with the USA as there was on Iraq I think an opportunity was missed. It seems to me sometimes that the kind of gravitational pull of the large superpower tends to pull the EU apart. It's not always but sometimes and I wish we could go back sometimes to 1973 when the EU stood up to Dr Kissinger with very positive effects. I think I'll just say two things. The EAS is an organisation with enormous potential with enormously good people in it with I think potential for a real collective effort particularly abroad in posts but there are some serious things that need thinking about. That's not a surprise after a couple of years. There was a paper by about 11 countries I think. I don't know if others have seen it which I thought some very sensible suggestions in it but there's more to be done. There's more to be done there particularly problem of personnel management is obviously very complicated and difficult. That and other things need some attention. I think the EAS needs to become a kind of organic reflection of the political and security committee and I think that the commission needs to see it as an opportunity rather than a threat. So anyway I've done past strengths and weaknesses. I don't think I'll say very much about the future because whatever anybody says about the future is normally wrong. So let's leave that for the Q&A because I run out of time anyway. Thank you.