Questions

If A, B are two square matrices such that AB =A and BA = B, then

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A, B are idempotent

only A is idempotent

only B is idempotent

None of these

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detailed solution

Correct option is A

AB=A, BA=B A2=ABAB=A(BA)B=(AB)B=AB=A B2=BABA=B(AB)A=BAA=BA=B

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