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Standard XII
Applied Mathematics
Inverse of Matrix
Question

Show that the $$A = \begin{bmatrix}1 & 0 & -2\\ -2 & -1 & 2\\ 3 & 4 & 1\end{bmatrix}$$ satisfied the equation $$A^{3} - A^{2} - 3A - I = O$$, and hence find $$A^{-1}$$.

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Show that the $$A = \begin{bmatrix}1 & 0 & -2\\ -2 & -1 & 2\\ 3 & 4 & 1\end{bmatrix}$$ satisfied the equation $$A^{3} - A^{2} - 3A - I = O$$, and hence find $$A^{-1}$$.
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