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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=`

A

2BA

B

A+B

C

2AB

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`A^(2)=A(BA)=(AB)A=BA=A`
`B^(2)=B(AB)=(BA)B=AB=B`
`impliesA^(2)+B^(2)=A+B`
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