Let A be an m n matrix, X an n r matrix, and B an m r matrix. Show that AX = B if and only if Axj = bj, j = 1, ... ,r

GAUSS ELEMINATION METHOD Augmented Matrix Elementary Row Operations Row Echelon Form Augmented Matrix – A matrix in which the values on the other side of the equal sign is included in the matrix. It is written in the left most column with a dotted line separating it from the other values of the matrix. Row Echelon Form – the form of matrix in which the first...