Question: 8. [5 points] Let S = {v1, v2, ..., Un} be a linearly independent subset of a vector space V and let v E V

8. [5 points] Let S = {v1, v2, ..., Un} be a linearly independent subset of a vector space V and let v E V be a vector not in span(S). Prove that X = {v1, ..., Un, } is linearly independent

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