The product is defined but the product is not defined
MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
The product PQ is defined but the product QP is not defined. Which statement about the possible orders of P and Q is necessarily true?
(a) P and Q are both square matrices of the same order
(b) P is m×n and Q is p×m with n=p
(c) P is m×n and Q is n×p with m=p
(d) The number of columns of P equals the number of columns of Q