Show that 1 - A is invertible when all the eigenvalues of A are less than 1

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Show that 1 - A is invertible when all the eigenvalues of A are less than 1 in magnitude.

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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Question Posted: May 02, 2016 12:09 PM

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Show that 1 - A is invertible when all the eigenvalues of A are less than 1

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If I A were not invertible then the equation I Ax 0 ...View the full answer

Linear Algebra and Its Applications

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