The subminimal polynomial and the Cayley-Hamilton theorem-Reference-Cited by-同舟云学术

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The subminimal polynomial and the Cayley-Hamilton theorem

Published:2022-10-01 Issue:3 Volume:30 Page:8-12
ISSN:1788-800X
Container-title:Pure Mathematics and Applications
language:en
Short-container-title:

Author:

Magyarkuti Gyula¹

Affiliation:

1. Department of Mathematics , Corvinus University of Budapest , Budapest , Hungary

Abstract

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

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/puma-2022-0019

Reference4 articles.

1. 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).

2. 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).

3. 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).

4. Horn, Roger A. and Charles R. Johnson (2012). Matrix Analysis. 2nd. USA: Cambridge University Press. isbn: 0521548233 (cit. on p. 9).10.1017/CBO9781139020411

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