Question: Let S = {v1, . . . , vn} be a linearly independent set in a vector space V. Show that if v is a

Let S = {v1, . . . , vn} be a linearly independent set in a vector space V. Show that if v is a vector in V that is not in span(S), then S' = {v1, . . . , vn, v} is still linearly independent.

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