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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 Spring '08
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 Linear Algebra, Algebra, Purdue University MA

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