Left eigenvalues of $2\times 2$ symplectic matrices

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210385We obtain a complete characterization of the $2\times 2$ symplectic matrices having an infinite number of left eigenvalues. Previously, we give a new proof of a result from Huang and So about the number of eigenvalues of a quaternionic matrix. This is achieved by applying an algorithm for the resolution of equations due to De Leo et al.7 pagesRings and Algebras15A04, 11R52, 15A33Left eigenvalues of $2\times 2$ symplectic matricestext