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If the inverse of the matrix A exists, t...

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

A

0

B

1

C

`(1)/(detA)`

D

`detA`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The inverse of the matrix [(5,-2),(3,1)] is -

    A
    `(1)/(3)[(-2,5),(1,3)]`
    B
    `[(1,2),(-3,5)]`
    C
    `(1)/(11)[(1,2),(-3,5)]`
    D
    `[(1,3),(-2,5)]`

  • 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)`

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