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Matrices Test - 3

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  • Question 1
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    If A and B are two matrices, such that, AB = B and BA = A, then A2 + B2 is equal to

    Solution

    A2 + B2 = (BA)2 + (AB)2

    = (BA)(BA) + (AB)(AB)

    = B(AB)A + A(BA)B

    = B(BA) + A(AB)

    = BA + AB = A + B

     

     

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