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The cofactor of the element 0 in the det...

The cofactor of the element 0 in the determinant `|(2,-3,5),(6,0,4),(1,5,-7)|` is

A

`-19`

B

9

C

`-9`

D

19

Text Solution

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The correct Answer is:
A
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Find minors and co-factors of the elements of the determinant : |{:(2,-3,5),(6,0,4),(1,5,-7):}| and verify that a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0

The cofactor of the element '4' in the determinant |(1,3,5,1),(2,3,4,2),(8,0,1,1),(0,2,1,1)| is

Knowledge Check

  • If C_(ij) is the cofactor of the element a_(ij) of the determinant |{:(2,-3,5),(6,0,4),(1,5,-7):}| , then write the value of a_(32).c_(32)

    A
    110
    B
    22
    C
    `-110`
    D
    `-22`

  • If C_(ij) denotes the cofactor of the elements a_(ij) of the determinant A=|{:(2,-3,5),(6,0,4),(1,5,-7):}| then the value of a_(12)C_(12)+a_(32)C_(32) is :

    A
    `-28`
    B
    `-32`
    C
    `41`
    D
    `17`

  • The cofactor of the element 4 in the determinant |{:(1,2,3),(4,5,6),(7,8,9):}| .

    A
    2
    B
    4
    C
    6
    D
    -6

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    If A_(ij) is the cofactor of the element a_(ij) of the determinant det[[2,-3,56,0,41,5,-7]], then write the value of a_(32).,A_(32).]|

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