Consider a homogeneous system of linear equations in n variables, and suppose that the augmented matrix has

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Consider a homogeneous system of linear equations in n variables, and suppose that the augmented matrix has rank r. Show that the system has nontrivial solutions if and only if n > r.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:23 AM

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Consider a homogeneous system of linear equations in n variables, and suppose that the augmented matrix has

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Since the system is consistent there a...View the full answer

Linear Algebra With Applications

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