Suppose that A is an n ( n matrix and that there is no nonzero vector x

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Suppose that A is an n ( n matrix and that there is no nonzero vector x in Rn such that Ax = x. Show that A - In is nonsingular.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:03 AM

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Suppose that A is an n ( n matrix and that there is no nonzero vector x

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Let x be nonzero Then Ax x so Ax x A Inx 0 That is there ...View the full answer

Elementary Linear Algebra with Applications

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