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八、设\(A=\begin{bmatrix}0 & -1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & -1\end{bmatrix},B=P^{-1}AP\),其中\(P\)为可逆阵,则\((B^{2016}-2A^2)^{-1}=\)____A. \(\begin{bmatrix}\frac{1}{3} \\ & \frac{1}{3} \\ & & 1\end{bmatrix}\) B. \(\begin{bmatrix}\frac{1}{3} \\ & \frac{1}{3} \\ & & -1\end{bmatrix}\) C. \(\begin{bmatrix}3 \\ & 3 \\ & & -1\end{bmatrix}\) D. \(\begin{bmatrix}-3 \\ & -3 \\ & & -1\end{bmatrix}\)
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