2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150949In previous work the author found solutions to the Toda equations that were expressed in terms of determinants of integral operators. Here it is observed that a simple variant yields solutions to the matrix Toda equations. As an application another derivation is given of a differential equation of Sato, Miwa and Jimbo for a particular Fredholm determinant.8 pages, LaTeX file. An argument improvedExactly Solvable and Integrable SystemsFunctional AnalysisHigh Energy Physics - Theorytext