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For the matrix A={:[(3,-3,4),(2,-3,4),(0...

For the matrix `A={:[(3,-3,4),(2,-3,4),(0,-1,1)]:}A^(-1)=`

A

A

B

`A^(2)`

C

`A^(3)`

D

`A^(4)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The matrix [(1,-3,-4),(-1,3,4),(1,-3,-4)] is

    A
    diagonal matrix
    B
    scalar matrix
    C
    nilpotent matrix
    D
    idempotent matrix

  • 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`

  • The rank of the matrix |{:(3,5,-1,4),(2,1,3,-2),(8,11,1,6),(-7,14,6,-14):}| is

    A
    1
    B
    2
    C
    3
    D
    4

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