Problem:
Orthogonalize the following vectors:
${\left\{\frac{7}{e},\frac{3}{e}\right\}, \left\{-\frac{3}{e},-\frac{6}{e}\right\}}$
Answer:
${\left\{\frac{7}{\sqrt{58}},\frac{3}{\sqrt{58}}\right\}, \left\{\frac{3}{\sqrt{58}},-\frac{7}{\sqrt{58}}\right\}}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/orthogonalize_vectors/23924.txt'}