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Undergraduate Poster Session

Undergraduate Poster #3

Subevent of Undergraduate Poster Session

Times: 2026 Mar 28 from 10:45AM to 12:00PM (Central Time (US & Canada))

An Introduction to the Theory of Determinants

Cooper Broughton <cbrough3@cbu.edu>, Christian Brothers University

Abstract:

Before the emergence of the subfield of abstract algebra known as linear algebra, and even before the nowadays very familiar notion of a matrix, there was a robust theory dealing solely in abstraction with the objects known as determinants. Today we tend to think of these objects as a property of a matrix, just one way of describing the matrix and its behavior, but mathematicians used to place a lot of importance on determinants as an object of study in their own right. This poster’s aim is to present the determinant and its definition in a way more in line with this older view of determinants, along with some motivation for the definition, and then to develop some properties of determinants - some that are familiar and others that are perhaps less so - using the language of the theory of determinants.

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