An analytical approach to Cayley-Hamilton theorem

Luiz C. Martins

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1987)

• Volume: 81, Issue: 3, page 279-282
• ISSN: 0392-7881

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Abstract

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Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.

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Martins, Luiz C.. "An analytical approach to Cayley-Hamilton theorem." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 81.3 (1987): 279-282. <http://eudml.org/doc/289310>.

@article{Martins1987,
abstract = {Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.},
author = {Martins, Luiz C.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Linear Algebra; Principal invariants; Characteristic polynomial},
language = {eng},
month = {9},
number = {3},
pages = {279-282},
publisher = {Accademia Nazionale dei Lincei},
title = {An analytical approach to Cayley-Hamilton theorem},
url = {http://eudml.org/doc/289310},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Martins, Luiz C.
TI - An analytical approach to Cayley-Hamilton theorem
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1987/9//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 3
SP - 279
EP - 282
AB - Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.
LA - eng
KW - Linear Algebra; Principal invariants; Characteristic polynomial
UR - http://eudml.org/doc/289310
ER -

References

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1. GEL'FAND, I.M. (1961) - Lectures in Linear Algebra, John Wiley, New York. Zbl0098.01108MR122819

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