1-14 GAUSS ELIMINATION Solve the linear system given explicitly or by its augmented matrix. Show details. 14. $\begin{bmatrix} 2 & 3 & 1 & -11 & 1 \\ 5 & -2 & 5 & -4 & 5 \\ 1 & -1 & 3 & -3 & 3 \\ 3 & 4 & -7 & 2 & -7 \end{bmatrix}$
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First, we swap row 1 and row 3: $\begin{bmatrix} 1 & -1 & 3 & -3 & 3 \\ 5 & -2 & 5 & -4 & 5 \\ 2 & 3 & 1 & -11 & 1 \\ 3 & 4 & -7 & 2 & -7 \end{bmatrix}$ Next, we perform the following row operations: $R_2 \rightarrow R_2 - 5R_1$ $R_3 \rightarrow R_3 - 2R_1$ $R_4 Show more…
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