2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106398The Jordan normal form for a matrix over an arbitrary field and the canonical form for a pair of matrices under contragredient equivalence are derived using Ptak's duality method.6 pagesRings and Algebras15A21, 15A33, 15A23Applications of the duality method to generalizations of the Jordan canonical formtext