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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

`A^(2)+B^(2)`

B

`O`

C

`A^(2)+2AB+B^(2)`

D

`A+B`

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To solve the problem, we need to find \( A^2 + B^2 \) given that \( AB = B \) and \( BA = A \). ### Step-by-Step Solution: 1. **Start with the expression for \( A^2 \)**: \[ A^2 = A \cdot A \] ...
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