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Adjoint of a Matrix

If for a matr...

Question

If for a matrix $A$ , $A^{3} = I$ , then $A^{- 1}$ is equal to-

A

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A^{2}

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A^{3}

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n o n e o f t h e s e

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Solution

The correct option is B $A^{2}$
$A^{3} = I$
$\Rightarrow A^{- 1} A$ $A^{2} = A^{- 1} I$
$\Rightarrow A^{2} = A^{- 1}$
Ans: B

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