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Suppose A=(a(ij))(3xx3) where a(ij) epsi...

Suppose `A=(a_(ij))_(3xx3)` where `a_(ij) epsilon R`
If det `(adj(A)A^(-1))=3`, then det (adj(A)) equals:

A

`sqrt(3)`

B

`3`

C

`3sqrt(3)`

D

`9`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Suppose A=a_(ij)_(3xx3), where a_(ij) epsilonR if det (adjA)=25, then |det (A)| equals

    A
    5
    B
    12.5
    C
    `5sqrt(5)`
    D
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  • Let A=(a_(ij))_(3xx3) , where a_(ij) epsilon C the set of complex number.s If det (A)=2-3i , then det (A) equals:

    A
    `1/13(2-3i)`
    B
    `1/13(2+3i)`
    C
    `2-3i`
    D
    `2+3i`

  • If A = (a_(ij))_(3xx3) where a_(ij) = cos (i+j) then

    A
    A is symmetric
    B
    A is skew symmetric
    C
    A is a triangular matrix
    D
    A is a singular matrix

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