Linearly independent/0121, 4302, 170-1/Exercise

Show that the three vectors

${\begin{pmatrix}0\\1\\2\\1\end{pmatrix}},\,{\begin{pmatrix}4\\3\\0\\2\end{pmatrix}},\,{\begin{pmatrix}1\\7\\0\\-1\end{pmatrix}}$

in ${}\mathbb {R} ^{4}$ are

linearly independent.

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