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If A is a non - singular matrix then...

If A is a non - singular matrix then

A

`A^(-1)` is a non-singular matrix, then

B

`A^(-1)`is skew-symmetric if A is symmetric

C

`abs(A^-1) = abs(A)`

D

`abs(A^-1) = abs(A)^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
`because abs(A) ne 0 rArr A^(-1) `
is also symmetric, if A is symmetric
and `abs(A^(-1)) = 1/abs(A) = abs(A) ^(-1)`
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