A family of determinants associated with a square matrix
Combinatorics
2008-10-23 v1
Abstract
We associate with a matrix over an arbitrary field an infinite family of matrices whose sizes vary from one to infinity; their entries are traces of powers of the original matrix. We explicitly evaluate the determinants of matrices in our family. The work is motivated by applications to graph spectra.
Cite
@article{arxiv.0810.3864,
title = {A family of determinants associated with a square matrix},
author = {Eugene Gutkin},
journal= {arXiv preprint arXiv:0810.3864},
year = {2008}
}