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The subminimal polynomial and the Cayley-Hamilton theorem

The subminimal polynomial and the Cayley-Hamilton theorem AbstractA short proof is given for the Cayley-Hamilton theorem using the concept of the subminimal polynomial. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

The subminimal polynomial and the Cayley-Hamilton theorem

Pure Mathematics and Applications , Volume 30 (3): 5 – Oct 1, 2022

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Publisher
de Gruyter
Copyright
© 2022 Gyula Magyarkuti, published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0019
Publisher site
See Article on Publisher Site

Abstract

AbstractA short proof is given for the Cayley-Hamilton theorem using the concept of the subminimal polynomial.

Journal

Pure Mathematics and Applicationsde Gruyter

Published: Oct 1, 2022

Keywords: companion matrix; subminimal polynomial; minimal polynomial; characteristic polynomial; special matrix functions; invariant subspace; 15A15

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