Prove Lemma 8.53. Lemma 8.53 The n n Jordan block matrix J,n has a single eigenvalue,

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Prove Lemma 8.53.
Lemma 8.53
The n × n Jordan block matrix Jλ,n has a single eigenvalue, λ, and a single independent eigenvector, e1. The standard basis vectors e1,... , en form a Jordan chain for Jλ,n.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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