(a) If A is an m x n matrix and M = (A | b) the augmented...

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(a) If A is an m x n matrix and M = (A | b) the augmented matrix for the linear system Ax = b. Show that either
(i) Rank A = rank M, or
(ii) Rank A = rank M - 1.
(b) Prove that the system is compatible if and only if case (i) holds.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:27 AM

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(a) If A is an m x n matrix and M = (A | b) the augmented...

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After row operations the augmented matrix becomes N U ...View the full answer

Applied Linear Algebra

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