Problem:
Convert the following matrix to reduced row echelon form:
$\left(
\begin{array}{cccccc}
 -9 & 1 & 4 & 2 & 1 & 9 \\
 6 & 0 & 10 & 10 & -1 & -10 \\
 5 & 2 & 6 & -2 & -5 & -6 \\
 5 & -10 & 1 & -2 & 0 & 4 \\
 0 & -5 & 7 & 6 & 7 & 0 \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{cccccc}
 1 & 0 & 0 & 0 & 0 & -\frac{2468}{1989} \\
 0 & 1 & 0 & 0 & 0 & -\frac{5867}{5967} \\
 0 & 0 & 1 & 0 & 0 & -\frac{2251}{29835} \\
 0 & 0 & 0 & 1 & 0 & -\frac{4447}{19890} \\
 0 & 0 & 0 & 0 & 1 & -\frac{2597}{5967} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/row_reduce/22808.txt'}