Point set/R^3/Affinely independent/1/Exercise

Check whether the points

${\begin{pmatrix}5\\4\\7\end{pmatrix}},\,{\begin{pmatrix}-2\\1\\6\end{pmatrix}},\,{\begin{pmatrix}3\\-9\\4\end{pmatrix}},\,{\begin{pmatrix}-8\\8\\3\end{pmatrix}}$

in ${}\mathbb {R} ^{3}$ are affinely independent.

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