Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-28T08:47:06.910Z Has data issue: false hasContentIssue false

Extensions of the Cayley-Hamilton Theorem

Published online by Cambridge University Press:  03 November 2016

J. Astin*
Affiliation:
Dept. of Applied Mathematics, University College of Wales, Aberystwyth

Extract

The following two theorems are extensions of the Cayley-Hamilton theorem. The first gives the explicit expression for AN as a polynomial in A, where A is an arbitrary square matrix. The second expands the first result to the case of a matrix series.

Type
Research Article
Copyright
Copyright © Mathematical Association 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)