2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172150We 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.Combinatorics15A15; 05C50text