Let S be a maximal linearly independent subset of a vector space V. That is, S has

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Let S be a maximal linearly independent subset of a vector space V. That is, S has the property that if a vector not in S is adjoined to S, then the new set will no longer be linearly independent. Prove that S must be a basis for V.

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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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Question Posted: May 06, 2023 06:12 AM

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Let S be a maximal linearly independent subset of a vector space V. That is, S has

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Let S V V IfS were linearly independent and not a basis for V then S would not ...View the full answer

Linear Algebra And Its Applications

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