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If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} th...

If `A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:}` then show that `A^(3)-23A-40I=0`

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To solve the problem, we need to find the matrix \( A \) from the equation \( A + I = \begin{pmatrix} 2 & 2 & 3 \\ 3 & -1 & 1 \\ 4 & 2 & 2 \end{pmatrix} \), and then show that \( A^3 - 23A - 40I = 0 \). ### Step 1: Find Matrix \( A \) Given: \[ A + I = \begin{pmatrix} 2 & 2 & 3 \\ 3 & -1 & 1 \\ 4 & 2 & 2 \end{pmatrix} \] ...
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