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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