Question: Let S = (v1, v2, ( ( (( vn) be an ordered basis for the n-dimensional vector space V, and let v and w be

Let S = (v1, v2, ( ( (( vn) be an ordered basis for the n-dimensional vector space V, and let v and w be two vectors in V. Show that v = w if and only if [v]S = [w]S.

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