Assume the system Ax 0 has a solution, while Ax > 0 has no solution. Then

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Assume the system Ax ≩ 0 has a solution, while Ax > 0 has no solution. Then A can be decomposed into two consistent subsystems
Bx > 0 and Cx = 0
such that Cx ≩ 0 has no solution.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:45 AM

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Assume the system Ax 0 has a solution, while Ax > 0 has no solution. Then

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We give a constructive proof by proposing an algorithm which will generate the desired decomposition ...View the full answer

Foundations of Mathematical Economics

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