2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164211Recent innovations on the differential calculus for functions of non-commuting variables, begun for a quaternionic variable, are now extended to the case of a general matrix over the complex numbers. The expansion of F(X+Delta) is given to first order in Delta for general matrix variables X and Delta that do not commute with each other.4 pages. Added Appendix AFunctional AnalysisComplex VariablesAnalytic Functions of a General Matrix Variabletext