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Extensions of the Cayley-Hamilton Theorem

Published online by Cambridge University Press:  03 November 2016

J. Astin
J. Astin*
Affiliation:
Dept. of Applied Mathematics, University College of Wales, Aberystwyth
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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
Information
The Mathematical Gazette , Volume 49 , Issue 370 , December 1965 , pp. 421 - 424
Copyright
Copyright © Mathematical Association 1965

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