Let A be a singular square matrix. Prove that there exist elementary matrices E1,... . EN such

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Let A be a singular square matrix. Prove that there exist elementary matrices E1,... . EN such that A = E1 E2 ∙ ∙ ∙ En Z. where Z is a matrix with at least one all zero row.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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