Prove that a matrix with all integer entries is convergent if and only if it is nilpotent,

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Prove that a matrix with all integer entries is convergent if and only if it is nilpotent, i.e., Ak = O for some k. Give a nonzero example of such a matrix.

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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 18, 2016 08:58 AM

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Prove that a matrix with all integer entries is convergent if and only if it is nilpotent,

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If v has integer entries so does A k v for any k and so the only ...View the full answer

Applied Linear Algebra

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