LetT: U U for a vector space Ube defined by T( u) = 0. Prove that T is linear. T is

Chapter 5, Problem 26

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LetT: U U for a vector space Ube defined by T( u) = 0. Prove that T is linear. T is called the zero operator on U. Let B be a basis for U. Show that the matrix of Twith respect to B is the zero matrix.

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