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Use product \( \begin{bmatrix} 1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4 \end{bmatrix} \) \( \begin{bmatrix} -2 & 0 & 1 \\ 9 & 2 & -3 \\ 6 & 1 & -2 \end{bmatrix} \) to solve the system of equations: $ x-y+2z=1, \: 2y-3z=1, \: 3x-2y+4z=2 $

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