Let h. V R be a homomorphism, but not the zero homomorphism. Prove that if (1,

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Let h. V → R be a homomorphism, but not the zero homomorphism. Prove that if (1, . . . , n) is a basis for the null space and if ∈ V is not in the null space then (,1, . . . , n) is a basis for the entire domain V.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:02 AM

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Let h. V R be a homomorphism, but not the zero homomorphism. Prove that if (1,

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By assumption h is not the zero map and so a vector V exists that is no...View the full answer

Linear Algebra

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