Question: Let S = {v1, . . . , vn} be a spanning set for a vector space V. Show that if vn is in span

Let S = {v1, . . . , vn} be a spanning set for a vector space V. Show that if vn is in span (v1, . . . , vn-1), then S' = {v1, . . . , vn-1} is still a spanning set for V.

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