If $A^{2} - A + I = 0$ , the inverse of A is

A - I

I - A

A + I

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A^{2} - A + I = 0

, the inverse of A is

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Text solutionVerified

A^{2} - A + I = 0 ⟹ A - A^{2} = I

A (I - A) = I

∴ A^{- 1} = I - A

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