Put the matrix in reduced row echelon form:
\[\begin{bmatrix} -5 & 2 & -2 & 22 \\ 4 & 4 & -2 & 14 \\ 0 & -5 & 1 & -26 \end{bmatrix}\]Click for (rounded) answer
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\[
\begin{bmatrix}
-5 & 2 & -2 & 22 \\
4 & 4 & -2 & 14 \\
0 & -5 & 1 & -26
\end{bmatrix}
\]
Solution:
\begin{solution}
\[
\begin{bmatrix}
1 & 0 & 0 & -2 \\
0 & 1 & 0 & 5 \\
0 & 0 & 1 & -1
\end{bmatrix}
\]
\end{solution}