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Read off the linear system encoded by the matrix equation $$ \begin{pmatrix} 1 & 0 & 2 \\ -1 & 3 & 1 \\ 2 & 1 & 0 \end{pmatrix} \begin{pmatrix} x \\ y \\ z \end{pmatrix} = \begin{pmatrix} 7 \\ -2 \\ 4 \end{pmatrix}. $$ Write the homogeneous system associated.
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