Question: 15. Let S = {u, u2....un) be a finite set of vectors. Prove that S is linearly dependent if and only if u =

15. Let S = {u, u2....un) be a finite set of vectors.

15. Let S = {u, u2....un) be a finite set of vectors. Prove that S is linearly dependent if and only if u = 0 or uk+1 span({u1, 2,..., uk}) for some k (1k

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