Question: Let S = {u1, u2, ( ( ( ( uk} be a set of vectors in a vector space and let T = {v1, v2,

Let S = {u1, u2, ( ( ( ( uk} be a set of vectors in a vector space and let T = {v1, v2, vm}, where each vi, i = 1, 2, ( ( ( ( m, is a linear combination of the vectors in S. Prove that
w = b1v1 + b2v2 + ( ( ( + bm vm
is a linear combination of the vectors in S.

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