Let S be a subset of a vector space V, and let v be an element of V. Show that span(S) = span(S U {v}) if and only if v is an element of span(S)

This one is confusing me, I'm not really sure what to do...

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- Apr 23rd 2009, 06:24 PMpaulrbHelp with a proof involving the span of a subset
Let S be a subset of a vector space V, and let v be an element of V. Show that span(S) = span(S U {v}) if and only if v is an element of span(S)

This one is confusing me, I'm not really sure what to do...