Problem:
Convert the following matrix to reduced row echelon form:
$\left(
\begin{array}{cccccc}
 -5 & 0 & 9 & -6 & 1 & -8 \\
 1 & 5 & 6 & 3 & -8 & 9 \\
 6 & 4 & 4 & 0 & -6 & -9 \\
 -9 & -7 & 0 & 0 & 9 & -6 \\
 -7 & 5 & 10 & 1 & 7 & -5 \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{cccccc}
 1 & 0 & 0 & 0 & 0 & -\frac{84977}{24150} \\
 0 & 1 & 0 & 0 & 0 & \frac{21573}{8050} \\
 0 & 0 & 1 & 0 & 0 & -\frac{22567}{8050} \\
 0 & 0 & 0 & 1 & 0 & -\frac{3497}{12075} \\
 0 & 0 & 0 & 0 & 1 & -\frac{5074}{2415} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/row_reduce/11212.txt'}