\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For each set below, name the reference vector space it is (product, \(\mathbb{K}^n\), matrix space, polynomial space, or function space) and give its zero vector.
  1. \(\mathbb{R}^4\);
  2. \(M_{2,3}(\mathbb{R})\);
  3. \(\mathbb{R}[X]\);
  4. \(\mathbb{C}^\mathbb{N}\);
  5. \(\mathbb{R}^\mathbb{R}\), the set of functions \(\mathbb{R} \to \mathbb{R}\).

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