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A square matrix A is used to be an idemp...

A square matrix A is used to be an idempotent matrix if `A^(2) = A`.
If A, B and A + B are idempotent matrices, then-

A

AB = BA = 0

B

AB = BA = `I_(n)`

C

AB = BA`ne`0

D

AB = BA`neI_(n)`

Text Solution

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The correct Answer is:
A
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