Solve each of the following systems of linear equations by Gaussian elimination and back substitution. Express your answers as vectors or as linear combinations of vectors if appropriate. $x - y + 2z = -4$ $3x + 2y = 1$ $x + 3y - 6z = 5$
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Step 1: Write the augmented matrix for the system of equations: $\begin{bmatrix} 1 & -1 & 2 & -4 \\ 3 & 2 & 0 & 1 \\ 1 & 3 & -6 & 5 \end{bmatrix}$ Show more…
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