Let be vectors in a vector space V and let be a linear transformation. (a) If is
Chapter 6, Problem 6.4.24(choose chapter or problem)
Let be vectors in a vector space V and let be a linear transformation. (a) If is linearly independent in W, show that is linearly independent in V. (b) Show that the converse of part (a) is false. That is, it is not necessarily true that if is linearly independent in V, then is linearly independent in W
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