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If A and B are two matrices such that AB = A and BA = B, then B² is equal to

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Correct option is A

We have, AB= A and BA= B∴ B2=BB⇒ B2=(BA)B [∵BA=B]⇒ B2=B(AB)⇒ B2=BA [∵ AB=A]⇒ B2=B [∵ BA= B]

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If A and B are two matrices such that AB = A and BA = B, then B2 is equal to

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If A and B are two matrices such that AB = A and BA = B, then B² is equal to