Question: Let u and v be vectors in a vector space V, and let H be any subspace of V that contains both u and v.

Let u and v be vectors in a vector space V, and let H be any subspace of V that contains both u and v. Explain why H also contains Span {u, v}. This shows that Span {u, v} is the smallest subspace of V that contains both u and v?

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