2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68498This short survey reviews some aspects of spaces of positive-definite self-adjoint linear transformations on R^n and on C^n, including the standard Riemannian metric and the relation with the exponential mapping acting on self-adjoint linear transformations, which indeed leads to geodesics of positive-definite linear transformations.latex-2e, 5 pagesClassical Analysis and ODEstext