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Polynomial Equations over Matices.

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Author(s)
Hellenbrand, Kaitlyn
Advisor(s)
Duffy, Colleen M.
Date
Apr 2009
Subject(s)
Matrices; Polynomials; Posters
Series
USGZE AS589
Abstract
If we are given an n-th degree polynomial over the complex numbers, we know that it has exactly n solutions. However, this is not true for an n-th degree polynomial over matrices. The difference in the two cases is that multiplication of matices is not commutative (AB does not equal BA) and not all matrices are invertible. The question then becomes: how many solutions can exist?
Description
Color poster with text and equations.
Sponsor(s)
University of Wisconsin--Eau Claire Office of Research and Sponsored Programs.
Permanent link
http://digital.library.wisc.edu/1793/36588 
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