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)=`

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)`

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)=`

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