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

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3A2+2A+5I

−3A2+2A+5I

3A2−2A−5I

none of these

answer is B.

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Detailed Solution

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

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