Question: Let S = (v1, v2, ( ( ( ( vn} be a set of nonzero vectors in a vector space V such that every vector

Let S = (v1, v2, ( ( ( ( vn} be a set of nonzero vectors in a vector space V such that every vector in V can be written in one and only one way as a linear combination of the vectors in S. Prove that S is a basis for V.

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