GAUSS Seminar

Jacob Van Grinsven
Determinants and a New Generalization

The determinant of an n by n matrix has countless applications in mathematics, so it is not surprising that attempts to generalize the determinant have been made over the years. In this talk we will discuss the construction of the determinant via the exterior algebra of a vector space, recall several properties of the determinant and introduce a new generalization of the determinant. We will then discuss some analogous properties present in the generalized determinant and provide necessary and sufficient conditions for the generalized determinant to vanish. Connections between this new determinant and a theorem of Pappus of Alexandria will also appear, time permitting. The talk will assume a background in linear algebra

Event Date: 
September 7, 2022 - 4:30pm to 5:20pm
MLH 218 or Online (see URL)
Manny Albrizzio & Garrett Mason
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