arXiv:0810.3864 Abstract | arXiv Analytics

arXiv:0810.3864 [math.CO]Abstract References Reviews Resources

A family of determinants associated with a square matrix

Published 2008-10-21Version 1

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.

Categories: math.CO

Subjects: 15A15, 05C50

Keywords: square matrix, determinants, sizes vary, graph spectra, original matrix

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