\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In \(\mathbb{R}^3\), the family \(\mathcal{B} = \bigl((-1, 1, 1), (1, -1, 1), (1, 1, -1)\bigr)\) is a basis (previous exercise). Determine the coordinates of the vector \((8, 4, 2)\) in the basis \(\mathcal{B}\).
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