Question

If $A$ and $B$ are square matrices of order ' $n$ ' such that $A^{2-}{B}^2=(A-B)(A+B)$ then which of the following will be true?

• A. Either of A or B is a zero matrix
• B. A=B
• C. A B=B A
• D. Either of A or B is an identity matrix

Answer 1

Answer: (C)

$A\&B$ must satisfy commutative law