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设 $A =\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 3 & -2 \\ -1 & 0 & 4\end{array}\right], C =\left[\begin{array}{ccc}0 & -2 & 1 \\ 1 & 2 & 1 \\ 3 & -3 & 2\end{array}\right], A B C = E$, 求 $B ^{-1}$.
                        
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