If \( \mathrm{A}=\left[\begin{array}{ccc}1 & 2 & 1 \\ 0 & 1 & -1 \\ 3 & -1 & 1\end{array}\right]...

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If \( \mathrm{A}=\left[\begin{array}{ccc}1 & 2 & 1 \\ 0 & 1 & -1 \\ 3 & -1 & 1\end{array}\right] \), then
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(1) \( \mathrm{A}^{3}+3 \mathrm{~A}^{2}+\mathrm{A}-9 \mathrm{I}_{3}=\mathrm{O} \)
(2) \( \mathrm{A}^{3}-3 \mathrm{~A}^{2}+\mathrm{A}+9 \mathrm{I}_{3}=\mathrm{O} \)
(3) \( \mathrm{A}^{3}+3 \mathrm{~A}^{2}-\mathrm{A}+9 \mathrm{I}_{3}=\mathrm{O} \)
(4) \( \mathrm{A}^{3}-3 \mathrm{~A}^{2}-\mathrm{A}+9 \mathrm{I}_{3}=\mathrm{O} \)
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