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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) 2AB (B) 2BA (C) A+B (D) AB

A

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

B

`O`

C

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

D

`A+B`

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( A^2 + B^2 \) given the conditions \( AB = B \) and \( BA = A \). ### Step-by-Step Solution: 1. **Start with the given equations**: We have: \[ AB = B \quad \text{(1)} ...
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