2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169552In this paper we further develop the theory of matrices over the extended tropical semiring. Introducing a notion of tropical linear dependence allows for a natural definition of matrix rank in a sense that coincides with the notions of tropical regularity and invertibility.9 pagesCommutative AlgebraCombinatorics12J25;14H20; 14M25; 14N10; 14H15; 11T06; 05A10text