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If A is non- singular martix and (A...

If A is non- singular martix and `(A +l)(A-l) = 0` then `A A^(-1)` = …….

A

2A

B

0

C

l

D

3l

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The correct Answer is:
A
We have , A is non-singular matrix
`therefore" "|A| = 0`
and `(A+l) (A -l) = 0`
`rArr " "A^(2) - l^(2) = 0`
`rArr " "A^(2) = l^(2) = l`
`rArr " ""A.A = l rArr A^(-1)A`
`therefore " "A + A^(-1) = A+A =2A`
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