Put the matrix in reduced row echelon form:
\[\begin{bmatrix} -1 & 0 & 5 & 4 \\ 2 & 2 & 0 & -1 \\ -5 & 1 & 30 & -2 \end{bmatrix}\]Click for (rounded) answer
Click for Latex code
\[
\begin{bmatrix}
-1 & 0 & 5 & 4 \\
2 & 2 & 0 & -1 \\
-5 & 1 & 30 & -2
\end{bmatrix}
\]
Solution:
\begin{solution}
\[
\begin{bmatrix}
1 & 0 & -5 & 0 \\
0 & 1 & 5 & 0 \\
0 & 0 & 0 & 1
\end{bmatrix}
\]
\end{solution}