Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 -3 & \frac{19}{3} & -\frac{14}{3} \\
 \frac{29}{6} & -\frac{17}{2} & -8 \\
 -\frac{28}{3} & \frac{59}{6} & \frac{5}{2} \\
\end{array}
\right)$
Answer:
$-x^3-9 x^2-\frac{5 x}{4}+\frac{20117}{54}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/3813.txt'}