The subminimal polynomial and the Cayley-Hamilton theorem Cover

.blurhash-client-img { display: none !important; }

The subminimal polynomial and the Cayley-Hamilton theorem

Pure Mathematics and Applications

Volume 30 (2022): Issue 3 (October 2022)

By: Gyula Magyarkuti

Open Access

|Nov 2022

Abstract

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

References

Chisala, Busiso P. (1998). “A Quick Cayley-Hamilton”. In: The American Mathematical Monthly 105.9, pp. 842–844. doi: 10.1080/00029890.1998.12004973. eprint: https://doi.org/10.1080/00029890.1998.12004973. url: https://doi.org/10.1080/00029890.1998.12004973 (cit. on p. 11).
Search in Google Scholar Back to article
Derksen, Harm (2003). “The Fundamental Theorem of Algebra and Linear Algebra”. In: The American Mathematical Monthly 110.7, pp. 620–623. issn: 00029890, 19300972. url: http://www.jstor.org/stable/3647746 (cit. on p. 11).
Search in Google Scholar Back to article
Hoffman, Kenneth and Ray A. Kunze (2004). Linear Algebra. Second. PHI Learning. isbn: 8120302702. url: http://www.worldcat.org/isbn/8120302702 (cit. on p. 8).
Search in Google Scholar Back to article
Horn, Roger A. and Charles R. Johnson (2012). Matrix Analysis. 2nd. USA: Cambridge University Press. isbn: 0521548233 (cit. on p. 9).10.1017/CBO9781139020411
Search in Google Scholar Back to article

DOI: https://doi.org/10.2478/puma-2022-0019 | Journal eISSN: 1788-800X

Journal RSS Feed

Language: English

Page range: 8 - 12

Submitted on: Jul 30, 2021

|

Published on: Nov 7, 2022

Published by: Corvinus University of Budapest

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

companion matrix,

subminimal polynomial,

minimal polynomial,

characteristic polynomial,

special matrix functions,

invariant subspace

Related subjects:

Computer sciences,

Theoretical computer sciences,

Business and economics,

Mathematics and statistics for economists,

Differential equations and dynamical systems

© 2022 Gyula Magyarkuti, published by Corvinus University of Budapest
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous article Volume 30 (2022): Issue 3 (October 2022)Next article