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If A is a nonzero square matrix of order...

If A is a nonzero square matrix of order n with `det(I+A)!=0` and `A^(3)=O` where I, O are unit and null matrices of order `nxxn` respectively then `(I+A)^(-1)=`

A

`I -A + A^(2)`

B

`I +A+A^(2)`

C

`I +A^(-1)`

D

`I +A`

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The correct Answer is:
A
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