Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 8 & \frac{53}{9} & -\frac{14}{3} \\
 \frac{34}{9} & \frac{29}{3} & -\frac{79}{9} \\
 \frac{10}{9} & -\frac{65}{9} & \frac{41}{9} \\
\end{array}
\right)$
Answer:
$-x^3+\frac{200 x^2}{9}-\frac{6266 x}{81}-\frac{11032}{81}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/24827.txt'}