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If square matrix A is such that $3 A^{3} + 2 A^{2} + 5 A + I = O$ , then $A^{- 1}$ is equal to

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3A2+2A+5I

−3A2+2A+5I

3A2−2A−5I

none of these

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Correct option is B

We have A3A2+2A+5I=−I∴ A−1=−3A2+2A+5I [∴ Inverse of a matrix is unique]

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If square matrix A is such that 3A3+2A2+5A + I = O, then A−1 is equal to

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If square matrix A is such that $3 A^{3} + 2 A^{2} + 5 A + I = O$ , then $A^{- 1}$ is equal to