hw1 - R + is a real vector space. 2. Axler, Chapter 1: 3-9,...

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MATH 110 - HOMEWORK 1 LECTURE 1, SUMMER 2009 Due: June 25, 2009 1. Let R + be the set of positive real numbers. Define addition and scalar multiplication on R + by x + y := xy and r · x := x r for x,y R + and r R . Show that, with these operations,
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Unformatted text preview: R + is a real vector space. 2. Axler, Chapter 1: 3-9, 13, 14 All solutions require justication, either in the form of a proof or a counterexample. Good luck!...
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