If a 3 xx 3 square matrix satisfies A...

If a ` 3 xx 3 ` square matrix satisfies ` A^(3) -23A - 40 I = 0, " then " A^(-1) ` equals

A

` (1)/(40) [23 -A^(2)]`

B

` -(1)/(40) [23 I- A^(2)]`

C

` (1)/(40) [23I -A^(2)]`

D

` (1)/(40) [A^(2) - 23]`

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The correct Answer is:

C

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