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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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EXAMPLE: Finding a basis for a subspace defined as a span
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What does it mean to 'span' something in linear algebra? I know what the span of a set of vectors is, but I'm a little confused about the verbal usage. - Quora
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