Solved: (Calculus required) Let V be the vector space C1[0, 1] and let T : V R be

Chapter 8, Problem 28

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(Calculus required) Let V be the vector space C1[0, 1] and let T : V R be defined by T(f) = f (0) + 2f (0) + 3f (1) Verify that T is a linear transformation. Determine whether T is one-to-one, and justify your conclusion.

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