For many undergraduate students, achieving an understanding of upper-level mathematics can be extremely challenging. For us, it helps to connect these new concepts with material we are familiar with. This will be the central theme of this thesis. We will introduce some basic components of algebraic voting theory, along with briey discussing how (Daugherty, Eustis, Minton, & Orrison, 2009) used representation theory to achieve their results. We will then provide an alternative proof to the main result of the (Daugherty et al., 2009) article using linear algebra, which should be much more familiar to my peers. We will carry out a similar process with a result from (Sarri, 1992), and attempt to reach his result with linear algebra techniques as well.
John Pike (Thesis Director)
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Original document was submitted as an Honors Program requirement. Copyright is held by the author.
Camara, Brian. (2017). Reconstructing Results From Voting Theory Using Linear Algebra. In BSU Honors Program Theses and Projects. Item 248. Available at: https://vc.bridgew.edu/honors_proj/248
Copyright © 2017 Brian Camara