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Q.

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

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a

A, B are idempotent

b

only A is idempotent

c

only B is idempotent

d

None of these

answer is A.

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Detailed Solution

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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