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A square nonsingular matrix satisfies $A^{2} - A + 2 I = 0, t h e n A^{- 1} =$

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I-A

(I-A)/2

I+A

(I+A)/2

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detailed solution

Correct option is B

A2−A+2I=0⇒A(A−I)=−2I⇒A(I−A)=2I⇒AI−A2=I⇒A−1=I−A2

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A square nonsingular matrix satisfies A2−A+2I=0, then A−1=

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A square nonsingular matrix satisfies $A^{2} - A + 2 I = 0, t h e n A^{- 1} =$