Question

Let A and B be square matrices of same order satisfying AB = A and BA = B. Then $A^2{B}^2$ equals, (O being the zero matrix of the same order as B)

• A. A
• B. B
• C. I
• D. O

Answer 1

The correct option is A A

Given $AB=A,BA=B$
$\Rightarrow A^2=A,B^2=B$
$\therefore A^2{B}^2=AB=A$