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Linear Systemshard
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Perform Gaussian elimination on the augmented matrix [21−1∣8−132∣54−13∣1]\begin{bmatrix} 2 & 1 & -1 & | & 8 \\ -1 & 3 & 2 & | & 5 \\ 4 & -1 & 3 & | & 1 \end{bmatrix}​2−14​13−1​−123​∣∣∣​851​​ and identify which row operation is valid in the FIRST step.