Show how the axioms for a vector space V can be used to prove the elementary properties

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Show how the axioms for a vector space V can be used to prove the elementary properties described after the definition of a vector space. Fill in the blanks with the appropriate axiom numbers. Because of Axiom 2, Axioms 4 and 5 imply, respectively, that 0 + u = u and -u + u = 0 for all u.


Complete the following proof that -u is the unique vector in V such that u + (-u) = 0. Suppose that w satisfies u + w = 0. Adding -u to both sides, we have


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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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