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If A is a 2 times 2 invertible matrix, t...

If A is a `2 times 2` invertible matrix, then value of `detA^(-1)` is -

A

`-detA`

B

`(-1)/(detA)`

C

detA

D

`1/(detA)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If A is an invertible matrix of order 2, then det (A^(-1)) is equal to

    A
    det (A)
    B
    `(1)/( det(A))`
    C
    `1`
    D
    `0`

  • If A be an orthogonal matrix, then the value of A^(-1) will be -

    A
    A
    B
    `A^(T)`
    C
    `A^(2)`
    D
    `A^(3)`

  • If the inverse of the matrix A exists, then the value of det(A^(-1))=

    A
    0
    B
    1
    C
    `(1)/(detA)`
    D
    `detA`

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