设 $P=\left(\begin{array}{ccc}-1 & 1 & 1 \\ 1 & 0 & 2 \\ 1 & 1 & -1\end{array}\right), \Lambda=\left(\begin{array}{lll}1 & & \\ & 2 & \\ & & -3\end{array}\right)$ ， $A P=P \Lambda$. 求 $\varphi(A)=A^3+2 A^2-3 A$.
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