A span is always a subspace — Krista King Math
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We can conclude that every span is a subspace. Remember that the span of a vector set is all the linear combinations of that set. The span of any set of vectors is always a valid subspace.
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Theorem 4.3.1 (Spanning Set Is the Smallest Subspace)
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SOLVED: THEOREM 4.7 Span(S) Is a Subspace of V If S={v 1, v 2, …, v k} is a set of vectors in a vector space V, then span(S) is a subspace
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Linear combinations and span — Krista King Math
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