已知 $P^{-1} A P=B$, 其中 $P=\left(\begin{array}{cc}-1 & -4 \\ 1 & 1\end{array}\right), P^{-1}=\frac{1}{3}\left(\begin{array}{cc}1 & 4 \\ -1 & -1\end{array}\right), B=\left(\begin{array}{cc}-1 & 0 \\ 0 & 2\end{array}\right)$, 求 $A^{11}$.
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