Question: Prove Lemma 8.53. Lemma 8.53 The n n Jordan block matrix J,n has a single eigenvalue, , and a single independent eigenvector, e1. The

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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