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K^3/215/137/412/Basis/Exercise
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Prove that in
R
3
{\displaystyle {}\mathbb {R} ^{3}}
, the three vectors
(
2
1
5
)
,
(
1
3
7
)
,
(
4
1
2
)
{\displaystyle {\begin{pmatrix}2\\1\\5\end{pmatrix}}\,,{\begin{pmatrix}1\\3\\7\end{pmatrix}}\,,{\begin{pmatrix}4\\1\\2\end{pmatrix}}}
form a basis.
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