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If A is a nilpotent matrix of index 2, t...

If `A` is a nilpotent matrix of index 2, then for any positive integer `n ,A(I+A)^n` is equal to `A^(-1)` b. `A` c. `A^n` d. `I_n`

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Knowledge Check

  • If A is a square matrix that |A|= 2, than for any positive integer n , |A^(n)|=

    A
    0
    B
    2n
    C
    `2^(n)`
    D
    `n^(2)`

  • If a_(1), a_(2) …… a_(n) = n a_(n - 1) , for all positive integer n gt= 2 , then a_(5) is equal to

    A
    a. 125
    B
    b. 120
    C
    c. 100
    D
    d. 24

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