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?

Question

Either $A$ or $B$ is a zero matrix.

$A = B$

$AB = BA$

Either $A$ or $B$ is an identity matrix.

Please login to view the detailed solution steps...