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IF A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] th...

IF `A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}]` then show that `A^3-3A^2-A-31=O`

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If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-3I=O , where I is unit matrix of order 3

IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] then show that A^-1=A^3 .

Knowledge Check

  • If A=[(1,2,1),(0,1,-1),(3,-1,1)] then A^(3)-3A^(2)-A+9I=

    A
    0
    B
    1
    C
    2
    D
    3

  • If A={:[(1,0,-2),(-2,-1,2),(3,4,1)]:} then A^(-1) =

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

  • If A=[(1,0,2),(2,1,0),(3,2,1)] then 3A^(-1)=

    A
    `[(1,4,-2),(-2,-5,4),(1,-2,1)]`
    B
    `[(1,4,-2),(-2,-5,4),(1,-2,1)]`
    C
    `[(-1,-4,-2),(2,-5,4),(-1,-2,1)]`
    D
    `[(1,4,-2),(-2,5,-4),(1,2,-1)]`

    • Similar Questions

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

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

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

    If A=[(1,2,3),(3,-2,1),(4,2,1)] , then show that A^(3)-23A-40I=0

    If A= {:[( 1,0,1),(0,1,2),(0,0,4)]:} ,then show that |3A| =27|A|

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