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On Uniformly Filled Determinants

by Herbert S. Wilf (University of Pennsylvania) and Carsten Thomassen (University of Pennsylvania)

This article originally appeared in:
College Mathematics Journal
March, 1990

Subject classification(s): Algebra and Number Theory | Linear Algebra
Applicable Course(s): 3.8 Linear/Matrix Algebra | 4.13 Advanced Linear Algebra

Given a square matrix \(U\) and column vectors \( \alpha\) and \( \beta\), the author shows that \( \det(U + \alpha \beta^T) = \det U + \beta^T\) Cof\( (U) \alpha \).  This capsule responds to and generalizes a previous classroom capsule.


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Capsule Course Topic(s):
Linear Algebra | Determinants
Average: 3.2 (18 votes)

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