A family of determinants associated with a square matrix

Details A family of determinants associated with a square matrix A family of determinants associated with a square matrix

2008-10-21

arxiv.org/abs/0810.3864v1

Mathematics

Combinatorics

Scientific paper

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.

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