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

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

  1. A

    A, B are idempotent

  2. B

    only A is idempotent 

  3. C

    only B is idempotent

  4. D

    None of these

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    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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