(Calcullls Required) Let IV be the vector space of all real-valued functions and let V

Chapter 6, Problem 24

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(Calcullls Required) Let IV be the vector space of all real-valued functions and let V be the subspace of all differentiable functions. Define L: V -+ IV by L (f) = J'. where J' is the derivative of f. Prove that L is a linear transformation.

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