Prove that a linear system Ax = b is consistent if and only if the rank of

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Prove that a linear system Ax = b is consistent if and only if the rank of (A | b) equals the rank of A.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:51 AM

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Prove that a linear system Ax = b is consistent if and only if the rank of

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If the system Ax b is consistent then b is in the column space of A Therefore the colu...View the full answer

Linear Algebra with Applications

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