A and B are two matrices such that AB = A and BA = B then what is B^2 equal to

• Matrices Determinants

A and B are two matrices such that AB = A and BA = B then what is B² equal to?

1. B
2. A
3. I
4. -I

Solution

AB = A and BA = B

B² = B.B

= (BA).B

= B.(AB)

= B.A

= B

The correct option is A.