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Article . 2007
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Recounting Determinants for a Class of Hessenberg Matrices

Recounting determinants for a class of Hessenberg matrices
Authors: Benjamin, Arthur T.; Shattuck, Mark A.;

Recounting Determinants for a Class of Hessenberg Matrices

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.

Related Organizations
Keywords

Fibonacci and Lucas numbers and polynomials and generalizations, Determinants, permanents, traces, other special matrix functions

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