Problem:
Compute
$\left(
\begin{array}{ccc}
 -\frac{1}{2} & 1 & -\frac{1}{2} \\
 3 & -\frac{1}{2} & \frac{5}{2} \\
 \frac{5}{2} & \frac{1}{2} & \frac{1}{2} \\
\end{array}
\right)^2$.
Answer:
$\left(
\begin{array}{ccc}
 2 & -\frac{5}{4} & \frac{5}{2} \\
 \frac{13}{4} & \frac{9}{2} & -\frac{3}{2} \\
 \frac{3}{2} & \frac{5}{2} & \frac{1}{4} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/powers_and_exp/36427.txt'}