Problem:
Compute
$\left(
\begin{array}{ccc}
 -\frac{9}{2}+\frac{i}{2} & 5-\frac{5 i}{2} & -\frac{7}{2}-3 i \\
 \frac{9}{2}-\frac{9 i}{2} & \frac{9}{2}-\frac{i}{2} & -\frac{7}{2}+\frac{5 i}{2} \\
 2+5 i & -\frac{9}{2}-i & 2+\frac{5 i}{2} \\
\end{array}
\right)^2$.
Answer:
$\left(
\begin{array}{ccc}
 \frac{157}{4}-\frac{247 i}{4} & \frac{51}{4}+17 i & \frac{13}{2}+\frac{73 i}{4} \\
 -\frac{39}{2}-\frac{25 i}{2} & \frac{99}{2}-46 i & -57+\frac{23 i}{2} \\
 -\frac{179}{4}+\frac{37 i}{4} & -\frac{19}{4}+\frac{9 i}{2} & 24-\frac{85 i}{4} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/powers_and_exp/5141.txt'}