Transformation of eigenvectors

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created: 2021-12-10 21:17:32
modified: 2022-01-10 04:13:04

is a vector space over the field and , ().1

Theorem: If is an eigenvector for with eigenvalue , then is an eigenvector for with eigenvalue .

Proof

QED


  1. Where is the Algebra of endomorphisms of a vector space and is the general linear group.