Question: Example 2.16 says that for any vector that is an element of a vector space V, the set {r | r

Example 2.16 says that for any vector that is an element of a vector space V, the set {r ∙ | r ∈ R} is a subspace of V. (This is of course, simply the span of the singleton set {}.) Must any such subspace be a proper subspace, or can it be improper?

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