Question

If A and B are two matrices such that both $A+B$ and AB are defined, then

• A. A and B are of same order
• B. A is of order $m\times m$ and B is of order $n\times n$
• C. both A and B are of same order $n\times n$
• D. A is of order m x n and B is of order $n\times m$

Answer 1

Answer: (C)

Matrices $A+B$ and AB are defined only if both A and B are of same order $n\times n$ .