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If A is a square matrix such that |A| ne...

If A is a square matrix such that `|A| ne 0 and m, n (ne 0)` are scalars such that `A^(2)+mA+nI=0`, then `A^(-1)=`

A

`-(1)/(m)(A+nI)`

B

`-(1)/(n)(A+mI)`

C

`-(1)/(n)(I+mA)`

D

`(1)/(n)(I+mA)`

Text Solution

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The correct Answer is:
b
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