if A and B are two matrices such that AB...

if A and B are two matrices such that AB=B and BA=A,then `A^(2)+B^(2)` is equal to

A

A+B

B

A-B

C

2A+B

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If A and B are two matrices such that AB=A and BA=B, then B^(2) is equal to (a) B( b) A(c)1(d)0

If A and B are two matrices such that A+B =AB , then

If A and B are 3times3 matrices such that AB=A and BA=B, then

If A and B are two square matrices such that AB=A and BA=B , then A^(2) equals

If A and B are two matrices such that AB=B and BA=A then A^2+B^2= (A) 2AB (B) 2BA (C) A+B (D) AB

If A and B are two matrices such that AB=A, BA=B, then A^25 is equal to (A) A^-1 (B) A (C) B^-1 (D) B

If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(2) is equal to A^(2)+B^(2) b.O c.A^(2)+2AB+B^(2) d.A+B

If A and B are two square matrices such that B=-A^(-1)BA , then (A+B)^(2) is equal to

If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(2) is eual to-