If (AB)’ = B’A’, where A and B are not square matrices, then number of rows in A is equal to number of columns in B

Question

The statement are True or False:

If (AB)’ = B’A’, where A and B are not square matrices, then number of rows in A is equal to number of columns in B and number of columns in A is equal to number of rows in B.

Answer 1

True

∵If A and B are any two matrices for which AB is defined, then

(AB)’=B’A’.