But here we go, Kowalski guys. I'm hyped for this one, Mark. Test of strength tag team champions, reigning the defendant, coming off a very tough match last night, in fact, against Ray Jazz and a different partner. But tonight, Ray Jazz has aligned himself with one of the top talents in New England, in the form of Ilya Markopolis, to take another shot at the Kowalski guys in the tag team title. And if you're not familiar with Ilya Markopolis, I don't know what you're doing. This guy is one of the top guys in New England and has been, for a while, has been featured on Impact in their talent search at one point. He's held the chaotic title for a very long period of time. This guy is top-top here in New England. Absolutely, and we are lucky indeed to have him here at Fenway Park. And what's certain to be an outstanding tag team, wrestling match of both men in tremendous physical condition. Look at the physique here, Ray Jazz. Oh, I know, he's never excited for tag team wrestling. Anything can happen in these rules. And if you're not familiar with Ray Jazz, he is a tremendous talent that's come to us from, I believe, the New York area, but has proven himself in the Mount Wars in New England, particularly as part of Test of Strength. He has as impressive a young talent as you're going to say. Well, the Bell Time Club faithful here are about to witness the entrance now of the Kowalski guys. We got an emergency, guys. Whenever you hear the emergency horn, you know who's on the other end of that. Throw your W's in the air, folks. Yes. These are the Kowalski guys. Slick Wagner Brown, Jay Freddie, carrying on the legacy set forth by Walter Killer Kowalski and representing Test of Strength. It's thunderous in here. It's always thunderous whenever we got Slick Wagner Brown, especially when he's audio with his tag team party at Jay Freddie. They got those titles. We're in for a treat here, guys. I can't wait for this one. They are the first Test of Strength tag team champions ever. They won a grueling tournament where they defeated the team of under the influence to capture the title. They have since defended them against the Bellow twins and just last night, Ray Jazz and Minzio. So those titles have been defended well by these guys in very tough circumstances. They have risen to the occasion every single time. Well, they've got their wear cut out for them today. The crowd lost their marbles a few moments ago when these two entered. And look at the hardware they're sporting. Really, really nice. Those beautiful tag team titles designed by Alex Rojas. GM of Test of Strength. I got to say, those are some of the best tag team titles I've ever seen. They're gorgeous. Beautiful belt. That is the closest thing you are going to get to any title, Joe Business. Just got to remind you of that. I get called a lot of names, so that's a title. Oh, I'm hyped for this. I really am. That's no BS. They're going to really show some stuff today. Slick is a New England staple, I mean. Anytime the guy gets in the ring, it's excitement for Son of Ike. Slick is a New England pro wrestling hall of famer. Well, still active, not something a lot of guys get. There is no time. Can he visit the Hall of Fame? What's that? Can he visit the Hall of Fame? I have. It's real, it's what God Steiner would say. 33 and a third percent, I hear. Look at the smile on Slick. Slick's always having a good time. That's the thing. Yeah. But I'll tell you what, once that bell rings, the good times stop, but we are going to get into some serious competition. If you have not seen Jay Freddie and Slick Wagner Brown as a team, they are very, very impressive together. That looks like Ilya Markovic. Oh, it looks like he drew the short straw over there, playing the chews game. All right, Ray Jazz going to hook things up with Slick Wagner Brown. And like I said, keep an eye on Ray Jazz. This guy, a lot, a lot of guys know about him, but he is incredibly impressive. And he's very deceptively built. Oh, he's very well put together. He looks like a professional wrestler in every reason. It's only one thing missing, and that is a test of strength tag team championship belter on his waist. And I could walk away today with one of them. Yeah, it's not a doubt. He's playing to the crowd a little too much. Well, there you go. Slick with the arm drag and another one. Well, rolling neckbreaker. Ray Jazz in trouble early on here into the cover gets only one, though. Yeah, you're not going to beat him that early. No, as impressive as Jazz and Markopolis are, you got to wonder if these two young competitors are feeling any butterflies, any jitters here at Fenway Park going for the gold.  Well, they're also at the disadvantage that they haven't teamed together a lot. Jay Freddie and Wagner Brown have been a team for quite a while, like I talked about even before that, they trained together. So these guys know each other inside out. You're talking about a team in Jazz and Ilya Markopolis. This may be their first time teaming together. Tall task is bullet Joe back in the ring. What's that? I said a tall task is bullet Joe back in the ring. Still on it. I'm going to tell bullet Joe, you said that he's going to slap you. Oh, can I watch that when it happens? Jay Freddie now. I don't want to meet him in a dark trash can. Oh, Jay Freddie and Ilya Markopolis exchanging shoulder blocks in the middle of a ring. Jay Freddie getting the better of that exchange. That arm dragon. Deep arm drag. Now he's controlling the joints. See how he's wrenching on that elbow joint as well as he has the shoulder joint block. So Jay Freddie ever the veteran knows how to hurt you in that ring. Now, I'm not so familiar with Jay Freddie. Did his mom sew him that outfit because the letters are falling off? Nice arm drag. It's that drop kick. Watch right jazz coming in now. And he's going to need a drop kick too. Markopolis struggling in the corner. And the veteran Jay Freddie's got these guys figured out an answer for everything. And the thing with the Kowalski guys. Oh, look at that. That was beautiful. Old dog clothesline combo. The thing with the Kowalski guys. We got a cover here. One, two. They are veterans, but they don't move like it. They're not your old guys in there. They are still as quick as you can get. They can match speed with Markopolis and jazz in there. I've said it time and time again about SWB and the same olds for Jay Freddie. They seem to get better with time. Markopolis as accomplished as he is, never afraid to take a shortcut when the opportunity presents itself. Jay Freddie's very impressive. Forearm by Ray Jazz. And now we're going to see this young guy take control here. Oh, he gets a cross body block from Freddie. I didn't follow up, though. Bringing him back to the corner, though. There you go. Here comes the underground king. Smart move. Let's send him off the other side. Such a veteran move. I don't know if you guys even caught that. Nice cut. One, two. Such a veteran move. I don't know if you guys caught it. They went to send him off the corner. But it would have been the corner. He'll have Markopolis to stand in. It would have opened them up for a blind tag. They switched course and sent them the other way. I had to check my fillings on that one, Mark. Oh, my god. I'll call it for one more here. We'll see what happens. Binge. And the chest cavity of Ray Jazz going to cave in on that one. Right to the butcher on that. Reversal, oh, Markopolis. I talked about it just a second ago. That foot back right to the back of SWB. Freddie is being contained. Variation on that T-Bomb suplex. Sends him over. And now no tag made. But Ilya coming in and putting the boots to SWB. Little double team behind the ref's back. Oh, Swick says no way. And that's a statement. He's got him in the right part of town of Ray Jazz and Ilya Markopolis. Now they put the boots to him in the corner. Jay Freddie has to keep control. He can't get the ref. Yeah, Jay Freddie's just chomping at the bend. He wants to get right back in there in a hurry. And now Wagner crawling to his corner trying to make the tag. Ray Jazz cuts him off. And all takes out Jay Freddie. Better removed there by the young man. Very smart. And we see them once again taking advantage. Ghost tag. Jay Freddie not helping his partner out at all here. It's not so much the physicality as it is controlling the whole situation. And Ray Jazz was smart there. He distracted the referee. Absolutely, these two young competitors outsmarting the veterans here. And they are firmly in control of this contest on another cheap shot. And again, Freddie now. But nobody hold that tag now. This is the opening for Wagner. Looks like Swick is rallying. He has to make the tag now. Coppolis cuts him off again. Oh. What disdain. Spit right in the space. Now another blind tag. No tag, man. They're just double teaming all day. They are really smooth in there. Sorry, commissioner. But they really are. And again, they all team together very often. Yeah, a couple of guys that haven't teamed together showing great continuity today. Leg drop by Ray Jazz. See, that's the hubris of Ray Jazz coming into play. Should have covered him quicker. Nice work, Joe. You're very welcome. I read it this morning. Spell it. I'm kidding. It's you, Briss. It was on a billboard in the subway. And here we go. We see Ray Jazz now beginning to work over the leg of the underground king. Jay Freddy's fired up here on the outside. Oh, I need to pause. It's Jazz out to the floor now. He's got his chance. Here we go. Come on, Slick. He's almost there. Slick's almost there. He's almost there. Watch Ray Jazz now. Oh. Right. Oh, beautiful band-pick. WB, can Freddy get back up for the tag? He's waiting. Slick's trying to rally the crowd. He's trying to get to his corner. Tag made to Ilya. He's got the leg of Wagner. Wagner's jumping. They're just isolating him. He is on fire. He has been jumping at the bits again at this thing. Reversal by Ilya. Freddy off the other side. Here he comes. Picks him up. Tornado DDT. Whip a 40. Flikes him. And Jay Freddy strikes a little pose there. Hey, he thinks he's the Bambino. He's calling a shot. Oh, he's got him in opposite corners. Charges in on Marconpolis. Charges in on Jazz. Back and forth. Side to side. The cardio. That's some CrossFit hits. Oh, one for that same move we saw earlier. But this time, Marconpolis had it scouted and got that boot in the face. And there he is. What are they doing? What are we going to see here? Jazz holding him up. Marconpolis off the top. Big shoulder tackle. That could be it. That might be it. We got new chips. No. Wagner breaks it up. Just we're seated here. Yeah, very impressive. Slick did his job, though. He stopped the cover and the decision. I'll tell you what an unbelievable victory that would be for these two young men to not only win those titles, but to win them here at historic Fenway Park. It would be quite the statement. What a notch in their belts it would be. And the Kaloska guys in firm control right now. Let's see if they can capitalize. What's this? Watch J. Freddie. And he flies. Outside in cross body block onto the bricks outside the ring. One, two, three, and the champions retain. What a match. Wow, and as the kids would say, that was lit. I got to tell you, they're not leaving here with the titles, but Ray Jazz and Elia Marconpolis have nothing to be ashamed of. What an absolutely impressive showing by those two young men. No doubt about it, but the Kaloska guys showed that the old guys have a few tricks left. That's what Bell Time Club wrestling, Test of Strength wrestling is all about here. Some of the best competition in New England and in the country as we see the Kaloski guys holding up their Test of Strength tag team titles. I tell you, I would put them against anybody in any promotion at this moment. That was very impressive. And they call themselves the best tag team in New England, and they've got a long way to showing it. Absolutely. Well, ladies and gentlemen watching at home on YouTube, thank you very much. My name's Drew Kazoo from Mark Green and Joey Business. We'll see you next time.


Hello everyone, Ross, good evening. Live video for this week, teacher wellbeing. So this comes from my research from a book, Just Great Teaching, last couple of years. So I'm only now starting to get out and about and share what I've discovered. I've got a ton of resources. Let me show you what I'm gonna share with you. So just send me a direct message. Eisenhower Matrix, sorry, bad print out here. Boston Matrix, which is new to me. A Weekend Week Planner. 10 ideas, I've been tweeting this out today for staff wellbeing. A research framework for things to improve in school. A research-informed intervention process. Again, another bad print out. The five-minute research plan I shall share. And then the poster of all the K-Study Schools, Just Great Teaching. That's to just start with. And then I'll also, I hope my publishers aren't watching, I'm gonna send you a screenshot of the K-Study School from the wellbeing section of Just Great Teaching. So that will just show you a preview. So these are the 10 chapter ideas. The ticks represent the ones that I've mapped out as CPD sessions. So I'm talking here about idea number four, teacher wellbeing. If I just show you a brief little map, these are the schools across the UK. This is a number four, Passing Streets Primary School in Bristol. So this is what I wanna talk to you about. So I've got a set of slides. I'm gonna send it all to you as a PDF and a folder. So send me a direct message. You'll get all these resources from my bank to explain the slides and the sample chapter for free. No catches. So there's a chap I, when I was struggling with my own teacher as a school leader, mental health, I watched this fantastic TED talk by a chap called Ted Nigel Marsh. And it started with this, pause for a moment and take stock of your miserable existence. If you do not define your meaning of work-life balance, someone else will define it for you. And you may just not like their idea of balance. And when I watched it, the whole TED talk, it really struck a chord with me. And I went home the same day and actually deleted all the applications that are on my mobile phone that connected me back with work. So you'll also see earlier on my tweets where I've switched and showed you a screenshot of how you can fetch your emails when you choose rather than have the default setting, which is to push, which is if I send you an email at any time of the day, it will arrive and notify you on your phone immediately. And I'm surprised how few people know about that. It's a huge workload change. And I think as a society, we have to redefine the rules that essentially the person that works the quickest, the person has the most money wins when actually we want to have people that are rewarded for being more fulfilled, more happy. So here's a thought for you. A bit of research here from Lindquist and Nor Danghe. We know that the process that causes a teacher to leave the teaching profession is something that starts a long time before they actually leave. So I want to talk about some of the cues first of all. So here's some of the kind of facts that are currently around at the moment. The spider on your shoulder. Are you tricking me here? Very good. Probably there is. Very good. You got me there. Teacher training applications are down by 5%. Teacher training targets in England have been missed for seven years in a row. Teacher salaries have declined. They're very good. Teacher salaries have declined by 10% in real terms since 2010 and the government have just admitted after 10 years of denying it that school funding was down. And actually student to teacher ratio numbers have increased one in 17. So they've risen. So costs have gone down.  You can imagine the stresses on the teaching profession. So here's some questions for you. Could sabbaticals or incentives improve or solve the teacher retention crisis? As lots of research to say where sabbaticals or pay rises have been offered, particularly for shortage subjects, it does increase teacher retention. Now I'm not moving to the right wing, but I've just read the policy exchange think tank who have had lots of views on over the years. There are a dark think tank heavily influenced in the Department for Education. And they've actually put out on a blog today. So if you go to my website, you'll find it. Five recommendations that the think tank are making to Boris Johnson. And actually to be fair, some of them are very good ideas and one of them is to sabbaticals. So I wouldn't be surprised if sabbaticals start to happen. So first idea from me before I go into these slides. Nigel Marsh, Ted Talk, make a note. It's called How to Make Work-Life Balance Work. And for 10 minutes, it will change your life. So here are some workload things to discuss, perhaps with yourself or back at school. Do your colleagues speak politely and constructively to one another? Are you or your school leaders? I don't believe in problem solvers. I believe in problem finders. So a little shift, do people go out of their way to find problems rather than solve the ones that are already broken because if we go to find them, likely kind of stop those things happening. When asked, did you say no to something that you've been asked to do? Who do you go to when you're struggling? And what kind of plans have you got for day to day living? So I'm gonna come to that shortly and talk through those slides, so just bear with me. I'm gonna come on to the first one. Now, this is very famous from Stephen Covey, the Eisenhower Matrix. I used to have this on my school leadership office and if you go to any blog on my site called The Life of a Deputy Headteacher, you'll see where I've got screenshots or photographs of this on my office wall. And essentially, urgent and important. These are the things that you do immediately, so urgent and important. These are important but not urgent, so kind of looming deadlines. In the bottom right, we've got not important, not urgent. These things are like tied in your cupboard shelves, reading magazines or articles you wanna say for a rainy day. And in the bottom right, we've got urgent but not important. So these are sometimes things that we could delegate to others that can help. And I think that's a great methodology for it to do list. So I'll screenshot this underneath the video feed to grab and also get the PDFs. The next one's new to me. Now, some of you that maybe studied day-level business studies or have talked business studies. And again, I apologize for the screenshots here, but we've got a picture here of a question inside someone's head. And behind it, it says, the future potential is doubtful. In here, we've got a star which says rapid growth. In this image, we've got dog, which is suggesting not worth investing but low growth. And then this one's a cash cow, which creates profit but will need to be replaced. And essentially, this is a model for strategic planning. So middle-leaders, school-leaders out there. An important model for allocating resources. So I'll give you an example. Let's say it's allocating money and budget aside for professional development. Are some ideas doubtful? Will some ideas have rapid growth? Are some just a waste of time? Will some cost a bit of money initially and then need replacing but actually will increase growth and share. Now that's new to me and that's, I guess, it's a very much a business model, but I suspect that will work in many fields of school life also. So that's the Boston Matrix. In the slides that I'm also gonna give you, I've got some pictures. I don't have them here, but I've got a picture of six apples. So I want you to imagine a Granny Smith apple, a red delicious apple, maybe a pink lady and a golden delicious. And I don't know if you're familiar with Barry Schwartz, the paradox of choice. When we were presented with too many choices, it's actually more stressful and it actually leads us to make less of a better decision and we end up being less fulfilled. And again, with teacher wellbeing and I would even say with children in our schools, when we are presented with less choice. So if I say, for example, you can have a Granny Smith, the green apple or a red delicious apple. Between those two choices, there's less stress. So something to consider. So again, the slides read through that. I don't have a screenshot with me to show you. Next idea is this. Now we're all busy people, all of us, you and me. But here's a little grid. Do you plan to do things away from work? Now it's really simple, but you've got Monday to Sunday there. We all need to have a gym day. We all need a day to go home. That's typically Friday or we'll go to the pub or whatever it would be. But do you have a regular methodology? Sometimes just by signing up to something on one night after school forces you to go. Now I know parents' evenings and those things get in the way. I'm gonna share the slides on a link underneath the video or if you send me a direct message, I'll send you a link to the slides after. But sometimes just diorising this to new teachers watching, sometimes just writing this down is sufficient. Ideas to help you switch off. Now, next idea, this is probably my favourite. Staff wellbeing policy. Here's 10 ideas. Now I put this on a Twitter screenshot earlier. There is tons of stuff on here. So let me just read some out. No written lesson plans of any kind. No pressure to put on show lessons. No cover duty for more than one lesson every half-term. So six covers a year. No written reports. Marking is for students only, not for all our school leaders or inspectors. Data is entered only once. CPD is delivered in twilight, finishes at 4.15 with days off in lieu. And CPD on managing stress is provided with the message that keeping yourself busy is not a sign of strength. And the final one, open door senior leadership. This is a real school wellbeing policy and actually they've got a list of 47 things that I've seen, living and breathing. There is another one that you'll be able to get in the book also. What else can I share with you? Let's see, let's see. I'll go to, this is the research development practitioner framework from the Open University. If you see at the top it says working as a researcher. Number two, developing ways of thinking. And number three, moving on with research. And this is a great methodology for tackling action research, but particularly research for teacher wellbeing and starting to develop and think like a researcher in your school. To support this, you've also got this simple what, who, what, when, where, how, and what next methodology for research-informed interventions with some simple questions to ask. So, whatever you choose, dual coding, retrieval practice, managing behavior, lesson planning. It's a nice little framework to think through with somebody in a team. You wanna take it further. You've got the five minute research plan. Now, this is badly printed. The five minute research plan, you've got a nice research inquiry framework to take it a bit more deeper for MPQML, for MPQSL, for MA projects. And again, this is broadening line with a five minute methodology. And another great way to think about taking ideas to get your staff or yourself more engaged in research. Instead of following all these fads, there's no research, for example, on the purple pen of progress. Does it work? What impact does it have? But yet we choose to follow that simple idea in a profession that's obsessed by research and evidence. This link here, you can grab it now if you want bit.ly forward slash capital JGT underscore poster, not underscore, sorry, lowercase. You grab the poster from the 10 case study schools that are researched in just great teaching. Now, after this video, semi-direct message or I'll pin the link under the slide, under the video, you'll get all the resources and the slides that I haven't really talked through because I'm sharing the video, all these handouts and I'm gonna screenshot, let me see what page it is, the school case study of a school in Bristol, page 93, of this case study school where you can read a bit more about how this school has gone through the same challenges, the same successes and what people can do to adapt some of the content in their own ideas. Let me see if I haven't missed anything. Feel free to post some questions. Now, in the slides I'm also gonna give you is some top tips for rethinking marking, some top tips for rethinking meetings and what else is in there? And it's a bit of research and I've signposted something about presenteeism which is about being at work even when you're ill and you really should be at home. Two websites, the health and safety executive website which has got a great talking toolkit for teaching wellbeing for your whole school, not just for yourself. And then Education Support Partnership which is a free confidential help line for all teachers to call 24 hours a day which will provide you with practice, emotional support for stress, anxiety, money worries, bereavement, all sorts of things and they're a welcome addition to our profession and I think that's a phone number that should be on every staff room in the country across England, Scotland, Wales and Northern Ireland. Right, I'm gonna stop there. Loads of ideas. I went to Belgium this week as well as the school in Preston. Fantastic stuff that I saw. Shape International School in particular. Nine schools, 11 nations all on one site. So I'm gonna blog about that tomorrow night but you'll have seen some of the images on my channel. Also Preston where I went to go and visit and share some ideas from just great teaching. A great school, Archbishop Temple, thank you. Tomorrow I'm off to Wandsworth to visit Abermil Primary School to talk about teacher wellbeing, this content. Then to Cardinal Newman and Newman and Luton to talk about the plan, content from Mark Plant Teach. Mark Plant Teach 2.0 coming out in September. And then I've actually got quite a few interesting podcasts. One with Kirstie Williams who's the Education Secretary of State for Wales. So I'm gonna try and see if I can make interviewing Education Secretary of States, one of the things in my podcast channel. Another thing, I posted something on Brexit over whenever it was, Friday or Saturday. I think it was Saturday morning when we had left. It's 19 hours. And my God wasn't that controversial. I'm a Romainer. I live in London. I've got mixed views on my Scottish by birth. So I've got views on independence and all sorts of things, but without getting too political. There are teachers in England who are conservative and who have voted for Brexit. And when you raise the topic on social media, people are attacked. And I've had my bias too, but I think now I've physically met people on the road on my travels. It's quite a small audience, particularly for the teaching profession, Tories, pro-Brexit, those types of things. I'm not, but I think it's important to talk about it. And it's just a bit disappointing to be attacked by fellow colleagues for sharing those views, for something that I actually disagree with myself, but I take the flag, but that's what you do when you have a large audience on social media. Anyway, have a great evening. Ideas in the book, I've got seven or eight hand backs for you here, I'm gonna send a link to you now. And the screenshots from the case study of just great teaching on teacher wellbeing, look after yourself because you have to, because if no one else does, or who looks after you is the question I've got for you. And how do you spot the cues when you're struggling? There's probably a tougher one to answer for us all. We all have mental health, we all need to manage it. And I think we should do more in our schools, particularly to support teachers' needs and profession, but to keep experienced teachers in the profession longer. I'm gonna stop on waffling. Thanks for all the comments and I'll shall see you next, this time next week.


The head of the 2023 General Post, the independent National Electrical Commission, ILEC, has assured Nigerians that it will recover from the recent attacks on its facilities. Speaking at the induction retreat for Rust and Electrical Commissioners held in Lagos today, ILEC Chairman Professor Mahmood Jakubu said, the lost materials will be replaced and there is a limit to ILEC's ability to keep replace and last the damaged items in just eight or six days to the general elections. Now within the space of three weeks, three attacks were carried out on ILEC local government facilities in Nogun, Oshun and Eboni state where the latest are coming on Sunday. We want to assure Nigerians for the materials lost, we will recover, but there is a limit as to how much we can recover if these attacks continue. So the commission is going to work with the security agencies, with community and traditional rulers to ensure that the attacks on the commission's facilities responded to. The best solution for us is arrest and prosecution of perpetrators. But for what happened, the commission is confident that it will recover. But as I said, there is a limit as to how much we can recover if the attacks continue with 86 days to the general election. The commission has said so consistently and we are committed to ensuring that nothing will stop the election from going ahead as scheduled and that the will of the Nigerian people will prevail. Now there has been a report and the attention of the commission has been drawn to the report that people can vote on election day without the PVC. That will be a violation of section 47, subsection 1 of the Electoral Act. Any Nigerian who wishes to vote on election day must present his or her PVC to the presiding officer at the polling unit in the constituency where he or she wishes to vote and the policy of the commission is no PVC, no voting. Notified about fresh news updates.


Hello and welcome to the session. In this session we will discuss matrix multiplication. First of all we discuss the multiplication of a matrix by a scalar. Suppose we have a matrix A with elements A, B, C and D and if we have K be any real number or say a scalar then the product of the scalar or the real number K and the matrix A with elements A, B, C, D is obtained by multiplying each element of the matrix with the scalar K. So we will have a matrix with elements K A, K B, K C and K D. So consider a matrix say a matrix B with elements 1, 2, 3, 4 then 5B would be a matrix obtained by multiplying each element of the matrix B with 5. Since in this case we need to multiply the matrix B with the scalar 5. So we have a matrix with elements 5 into 1 is 5, 5 into 2 is 10, 5 into 3 is 15, 5 into 4 is 20. So this is the matrix 5B obtained by multiplying the scalar 5 by the matrix B. Next we discuss the multiplication of two matrices. Suppose we have two matrices A and B and we need to multiply these two matrices then we product AB of the two matrices A and B is obtained only if the number of columns of matrix A is equal to the number of rows of matrix B. So if given two matrices and we need to find the product so first of all we have to see that the number of columns of the first matrix is equal to the number of the second matrix to be multiplied with the first matrix and the product matrix AB has same number of rows the matrix A number of columns the matrix that is the product will have the same number of rows as the first matrix and the same number of columns as the second matrix. This means if order of the matrix A is M by P and order of the matrix B is P by N then the order of the product matrix that is AB would be M by N. Now from the order of the matrices A and B we can make out that the number of columns of matrix A is same as the number of rows of the matrix B. Now as the product AB is obtained when the number of columns of A is same as the number of rows of B so in the same way the product BA would be obtained when number of columns of B would be same as number of rows of A. In the product AB A is called the pre-factor, the post-factor. Now let's consider a matrix A that is a 2 by 2 matrix with elements A1, B1 in the first row, A2, B2 in the second row. Consider a matrix B again a 2 by 2 matrix with elements in the first row as C1, D1 in the second row as C2, B2. Now let's see how we can multiply these two matrices. Now the number of columns in the matrix A is 2 and the number of rows in the matrix B is 2 so this means both these matrices can be multiplied and since A is also a 2 by 2 matrix and B is also a 2 by 2 matrix so the product of the two matrices AB would also be a 2 by 2 matrix. Now the product of matrices A and B is denoted by AB and this is obtained by multiplying the two matrices. Multiplication of two matrices is described as row by column multiplication. Now in the multiplication of the two matrices our first step would be to multiply the first row by the first column. Now this is the first row with elements A1, B1. This is multiplied by the first column with elements C1, C2. So the entries of this first row are multiplied by the entries of this first column in order and these products will then be added that is we have A1, C1 plus B1, C2 and this is the entry in the first row, first column of the matrix AB that is of the product of the two matrices. Now in the next step we multiply the first row by the second column so this is the first row with elements A1, B1. This A1, B1 is multiplied by the second column with entries B1, B2. So these are also multiplied in the same way that is we multiply the entries of the first row with the entries of the second column in order and these products are added to obtain the entry in the first row second column of the product AB. Then in the next step we multiply the second row by the first column. Now the second row in matrix A is A2, B2 that is it has elements A2, B2. We multiply the second row with the first column in which the elements are C1, C2 so this would give us A2, C1 plus B2, C2. This gives the entry in the second row and first column of the matrix AB. Then in the next step we multiply the second row with the second column. Now the second row is the row with elements A2, B2 so we have the row containing the elements A2, B2 is multiplied with the second column with elements D1, D2. So this is the second column with elements D1, D2 so here we have A2, D1 plus B2, D2. This gives the entry in the second row and second column of the matrix AB. Let us now consider an example in which we are supposed to multiply the matrices A and B where the matrix A has elements 1, 2, 3, 4. Matrix B has elements 5, 4, 3, 1. Let us now find out the product AB of the two matrices A and B. Now as the matrix A is of order 2 by 2 and matrix B is also of order 2 by 4 so this means that matrix AB would also be of order 2 by 2. We first multiply the first row of the matrix A with the first column of the matrix B to get the element of the first row, first column of matrix AB. So 1 into 5 plus 2 into 3 so this is equal to 5 plus 6 which is 11 so here we have 11. Next we multiply the first row of the matrix A with the second column of the matrix B so we have 1 into 4 plus 2 into 1 so this is equal to 4 plus 2 which is 6. So 6 is the entry in the first row and second column of the matrix AB. Next we consider the second row of the matrix A and we would multiply this with the first column of the matrix B so 3 into 5 plus 4 into 3 and this is equal to 15 plus 12 which is 27. So 27 is the entry of the second row first column of matrix AB. Next we consider the second row of the matrix A and the second column of the matrix B and we multiply these so we have 3 into 4 plus 4 into 1 so this gives us 12 plus 4 which is 16. So 16 is the entry of the second row second column of matrix AB. So thus we have obtained the product of the two matrices A and B. So this completes the session. Hope you have understood the matrix multiplication.