Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 \frac{47}{16} \\
 -\frac{17}{16} \\
 \frac{9}{4} \\
 -\frac{41}{16} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 \frac{47}{5 \sqrt{219}} \\
 -\frac{17}{5 \sqrt{219}} \\
 \frac{12 \sqrt{\frac{3}{73}}}{5} \\
 -\frac{41}{5 \sqrt{219}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/907.txt'}