Is nilpotence invariant under similarity? That is, must a matrix similar to a nilpotent matrix also be

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Is nilpotence invariant under similarity? That is, must a matrix similar to a nilpotent matrix also be nilpotent? If so, with the same index?

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:28 AM

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Is nilpotence invariant under similarity? That is, must a matrix similar to a nilpotent matrix also be

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Yes t he index of the new matrix is less than or equal to the index of N an...View the full answer

Linear Algebra

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