Put the matrix in reduced row echelon form:
\[\begin{bmatrix} 1 & -3 & -14 & 0 \\ -1 & 2 & 11 & 4 \\ -1 & -2 & -1 & 4 \end{bmatrix}\]Click for (rounded) answer
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\[
\begin{bmatrix}
1 & -3 & -14 & 0 \\
-1 & 2 & 11 & 4 \\
-1 & -2 & -1 & 4
\end{bmatrix}
\]
Solution:
\begin{solution}
\[
\begin{bmatrix}
1 & 0 & -5 & 0 \\
0 & 1 & 3 & 0 \\
0 & 0 & 0 & 1
\end{bmatrix}
\]
\end{solution}