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A and B are two square matrices such tha...

`A` and `B` are two square matrices such that `A^(2)B=BA` and if `(AB)^(10)=A^(k)B^(10)` then the value of `k-1020` is.

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Knowledge Check

  • A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

    A
    `1001`
    B
    `1023`
    C
    `1042`
    D
    none of these

  • If A and B are two square matrices such that AB=A and BA=B , then A^(2) equals

    A
    B
    B
    A
    C
    `I`
    D
    O

  • If A and B are 3times3 matrices such that AB=A and BA=B, then

    A
    `A^(2)=A and B^(2)=B`
    B
    `A^(2)=A and B^(2)=!B`
    C
    `A^(2)=!A and B^(2)=B`
    D
    `A^(2)=!A and B^(2)=!B`

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    If A and B are two square matrices such that B=-A^(-1)BA , then (A+B)^(2) is equal to

    If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(2) is eual to-

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