Using rref to give number of solutions (which is either 0, 1 or oo) The matrix eqn A X = B, gives augmented matrix (A | B) which is turned into rref form. 0: If the last column has a pivot, the system is not consistent. Another way of waying this is the rank of the augmented matrix > the rank of the coefficient matrix 1: If it is consistent and the number of pivots = number of unknowns oo: If it is consistent and the number of pivots < number of unknowns. Basically on page 12 of the text. *************************** Matrix multiplication: m x n times n x p producing m x p A*B might not = B*A A^T (transpose) which is A' in scilab