Let L : V __ IV be a linear transfonnation. and let 5 = {VI. V! ... ' n} be a set of
Chapter 6, Problem 20(choose chapter or problem)
Let L : V __ IV be a linear transfonnation. and let 5 = {VI. V! ... ' n} be a set of vectors in V. Prove that if T = {L (v l). L(V2) . .... L (v.)) is linearly independent. Ihen so ~ S. What can we ~ay about the converse?
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