\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(\dim_\mathbb{R} \mathbb{C}^n\) (regarding \(\mathbb{C}^n\) as an \(\mathbb{R}\)-vector space) and \(\dim_\mathbb{C} \mathbb{C}^n\).
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