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Q^3/23-5/926/-14-1/Basis/Exercise
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Establish if in
R
3
{\displaystyle {}\mathbb {R} ^{3}}
the three vectors
(
2
3
−
5
)
,
(
9
2
6
)
,
(
−
1
4
−
1
)
{\displaystyle {\begin{pmatrix}2\\3\\-5\end{pmatrix}}\,,{\begin{pmatrix}9\\2\\6\end{pmatrix}}\,,{\begin{pmatrix}-1\\4\\-1\end{pmatrix}}}
form a basis.
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