Question

Let A and B be two non zero square matrices and AB and BA both are defined. It means

• A. No. of columns of A # No. of rows of B
• B. No. of rows of A # No. of columns of B
• C. Both matrices (A) and (B) have same order
• D. Both matrices (A) and (B) does not have same order

Answer 1

Answer: (C)

Both matrices (A) and (B) have same order

Answer 2

Given two non-zero square matrices, A and B

The definition of Matrix AB is Columns equal to B's Rows.

And BA is defined as follows: B's columns equal A's rows.

Therefore, it is correct that matrices (A) and (B) have the same order.