A matrix with this property and one that is upper triangular is given by the QR decomposition.
A matrix with this property and one that is upper triangular is given by the QR decomposition. Given a linearly independent set of vectors x, a process that gives a set with this property computes a set of vectors v as v-sub-n equals x-sub-n minus the sum from i equals one to n minus one of the projection of v-sub-n along x-sub-i. That process is named for Gram & Schmidt and gives a basis that can later be normalized. The standard unit (*) vectors of the Cartesian coordinate system all have this property with respect to each other. Two vectors have this property if their inner product, or dot product in lower dimensions, is equal to zero. For 10 points, identify this property that two lines have if they are perpendicular.
A matrix with this property and one that is upper triangular is given by the QR decomposition.
{orthogonality} [or {orthonormal;} or perpendicular until it is read]