Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 -\frac{7}{6} & -\frac{20}{3} & \frac{16}{3} \\
 -\frac{13}{3} & -\frac{28}{3} & \frac{22}{3} \\
 \frac{17}{6} & -\frac{47}{6} & -\frac{47}{6} \\
\end{array}
\right)$
Answer:
$-x^3-\frac{55 x^2}{3}-\frac{1279 x}{12}+\frac{13907}{54}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/7710.txt'}