Let D be the differentiation operator on P3, and let S = {p P3

Chapter 4, Problem 25

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Let D be the differentiation operator on P3, and let S = {p P3 | p(0) = 0} Show that (a) D maps P3 onto the subspace P2, but D: P3 P2 is not one-to-one. (b) D: S P3 is one-to-one but not onto.

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