Solved: Let V be a vector space with basis{v1, v2,..., vk } and suppose T : V W is a
Chapter 6, Problem 24(choose chapter or problem)
Let V be a vector space with basis{v1, v2,..., vk } and suppose T : V W is a linear transformation such that T (vi) = 0 for each i = 1, 2,..., k. Prove that T is the zero transformation; that is, T (v) = 0 for each v V.
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