Problem:
Compute
$\left(
\begin{array}{ccc}
 1 & -\frac{1}{2} & -\frac{3}{2} \\
 -2 & 1 & \frac{5}{2} \\
 -\frac{5}{2} & -\frac{3}{2} & -1 \\
\end{array}
\right)^3$.
Answer:
$\left(
\begin{array}{ccc}
 \frac{51}{8} & \frac{1}{4} & -\frac{17}{4} \\
 -\frac{57}{4} & -\frac{9}{8} & 8 \\
 -2 & -\frac{7}{4} & -\frac{19}{8} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/powers_and_exp/4023.txt'}