Matrix True and False Questions

Question

a) If A and B are n x n matrices then (AB)² =A²B²

b) If the product of two matrices AB is square, then A and B must be square.

c) If A and B are matrices with sizes such that AB is square, then BA exists.

d) If A and B are square matrices of the same size, then (AB)^T = A^TB^T

Answer 1

a is false.

b is correct.

c is correct.

d is false.