\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find a basis of \(F = \mathrm{Vect}\bigl((1, 2, 3), (2, 4, 6), (1, 1, 1), (3, 5, 7)\bigr)\) in \(\mathbb{R}^3\) by applying the incomplete-basis algorithm.
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