Recounting Determinants for a Class of Hessenberg Matrices

Authors

Arthur T. Benjamin, Harvey Mudd CollegeFollow
Mark A. Shattuck, University of Tennessee - Knoxville

Document Type

Article

Department

Mathematics (HMC)

Publication Date

12-2007

Abstract

We provide combinatorial interpretations for determinants which are Fibonacci numbers of several recently introduced Hessenberg matrices. Our arguments make use of the basic definition of the determinant as a signed sum over the symmetric group.

Comments

First published in INTEGERS: The Electronic Journal of Combinatorial Number Theory, vol. 7, no. 1 (December 2007), by the State University of West Georgia, Charles University, and DIMATIA.

This article is also available at http://www.integers-ejcnt.org/vol7.html.

Rights Information

© 2007 Arthur T. Benjamin

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Benjamin, A.T., & Shattuck, M.A. (2007). Recounting determinants for a class of Hessenberg Matrices. Integers: The Electronic Journal of Combinatory Number Theory, 7(1): 1-7.