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For the matrix A=[(1, 1, 1),( 1, 2,-3),(...

For the matrix `A=[(1, 1, 1),( 1, 2,-3),( 2, 1, 3)]`. Show that `A^3-6A^2+5A+11 I=0`. Hence, find `A^(-1)`.

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To solve the problem, we need to show that \( A^3 - 6A^2 + 5A + 11I = 0 \) for the matrix \[ A = \begin{pmatrix} 1 & 1 & 1 \\ 1 & 2 & -3 \\ 2 & 1 & 3 \end{pmatrix} ...
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