\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(E\) be a vector space with \(\dim E = 6\), and \(F, G\) subspaces with \(\dim F = 4\) and \(\dim G = 3\). Show that \(\dim(F \cap G) \ge 1\) (i.e. \(F \cap G\) is not reduced to \(\{0\}\)).
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