Solve the linear system (mathbf{A x}=mathbf{b}) by using Gauss elimination. (mathbf{A}=left[begin{array}{cccc}-2 & 4 & 3 & 1

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Solve the linear system \(\mathbf{A x}=\mathbf{b}\) by using Gauss elimination.

\(\mathbf{A}=\left[\begin{array}{cccc}-2 & 4 & 3 & 1 \\ 3 & 2 & -6 & -1 \\ 1 & -2 & -3 & 2 \\ 4 & 8 & 9 & -3\end{array}\right], \quad \mathbf{b}=\left\{\begin{array}{c}7 \\ -6 \\ 1 \\ -3\end{array}\right\}\)

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