Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 -\frac{19}{16} \\
 -\frac{3}{16} \\
 \frac{3}{2} \\
 \frac{39}{16} \\
 \frac{9}{4} \\
 1 \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 -\frac{19}{\sqrt{4019}} \\
 -\frac{3}{\sqrt{4019}} \\
 \frac{24}{\sqrt{4019}} \\
 \frac{39}{\sqrt{4019}} \\
 \frac{36}{\sqrt{4019}} \\
 \frac{16}{\sqrt{4019}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/466.txt'}