Show that a linear map is one-to-one if and only if it preserves linear independence.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:01 AM

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Show that a linear map is one-to-one if and only if it preserves linear independence.

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We are proving that h V W is onetoone if and only if for every linearly independent subset S of V th...View the full answer

Linear Algebra

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