You are here

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.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

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