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IF 3A=[{:(1,2,2),(2,1,-2),(-2,2,-1):}] t...

IF `3A=[{:(1,2,2),(2,1,-2),(-2,2,-1):}]` then show that `A^-1=A'`.

Answer

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Knowledge Check

  • If 3A=[(1,2,2),(2,1,-2),(-2,2,-1)] then A^(-1)=

    A
    `2A^(T)`
    B
    `A^(T)`
    C
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    D
    `1/2A^(T)`

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    A
    `A^(2) - 2A - 4l`
    B
    `A^(2) - A - 3I`
    C
    `(1)/(2) [A^(2) + A + 2l]`
    D
    `A^(2) + A - 2l`

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    IF A=[{:(-1,-2,-2),(2,1,-2),(2,-2,1):}] then show that adjA=3A^T Also find A^-1

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