Show that if a vector is in the span of a set then adding that vector to

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Show that if a vector is in the span of a set then adding that vector to the set won't make the span any bigger. Is that also 'only if'?

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:52 AM

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Show that if a vector is in the span of a set then adding that vector to

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It is both if and only if For if let S be a subset of a vector space V and assume satisfies wh...View the full answer

Linear Algebra

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