Question: Let S = {0, v1, v2, . . . , vm} be any subset of the vector space R^n. That is, it contains the zero

Let S = {0, v1, v2, . . . , vm} be any subset of the vector space R^n. That is, it contains the zero vector and at least one other nonzero vector. Prove that the vectors in S are linearly dependent.

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