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If A and adj A are non-singular square m...

If A and adj A are non-singular square matrices of order n, then adj `(A^(-1))=`

A

(a) `(adj A)^(T)`

B

(b) `adj (adj (A))`

C

(c) `1/|A| A`

D

(d) `|A|*A`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If A and B are square matrices of order 2, then (A+B)^2 =

    A
    `A^2 +2AB +B^2`
    B
    `A^2 +AB+BA+B^2`
    C
    `A^2 +2BA +B^2`
    D
    none of these

  • If A and B square matrices of order nxxn such that A^(2)-B^(2)=(A-B)(A+B) , then which of the following will be always true ?

    A
    AB=BA
    B
    either of A or B is a zero matrix
    C
    either of A and B is an identity matrix
    D
    A = B

  • If A is a non singular matrix, then det (A^(-1)) = …………

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

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