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Suppose that {V1, V2, V3} is a linearly independent set of vectors in R6. Further suppose that w is a vector in R6 such

Suppose that {V1, V2, V3} is a linearly independent set of vectors in R6. Further suppose that w is a vector in R6 such that w is not an element of Span(V, V2, V3). Is it true that {V1, V2, V3, w} is linearly independent? Why or why not? (15 points)

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