Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 -\frac{28}{9} & 6 & \frac{7}{3} \\
 \frac{74}{9} & -\frac{43}{9} & \frac{82}{9} \\
 -\frac{4}{3} & \frac{86}{9} & \frac{61}{9} \\
\end{array}
\right)$
Answer:
$-x^3-\frac{10 x^2}{9}+\frac{1547 x}{9}+\frac{32272}{243}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/36630.txt'}