Question: Let V = C [a, b] be the vector space of all real-valued functions that are integrable over the interval [a, b]. Let W =

Let V = C [a, b] be the vector space of all real-valued functions that are integrable over the interval [a, b]. Let W = R1 Define L: V → W by L(f) = ∫ab f(x) dx. Prove that L is a linear transformation.

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