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Unformatted text preview: 0). Proof of Corollary 2 of Theorem 11, Let x V . Suppose y and y are vectors in V such that x + y = 0 and x + y = 0. We need to show y = y . But x + y = 0 and x + y = 0 imply x + y = x + y , which implies y + x = y + x . Then by Theorem 1.1, we have y = y . 1...
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This note was uploaded on 04/29/2010 for the course MA 353 taught by Professor Staff during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 Staff
 Linear Algebra, Algebra

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