Atribución-NoComercial 4.0 InternacionalSarria Zapata, HumbertoMartínez Buitrago, Diana Isabel2019-06-242019-06-242010https://repositorio.unal.edu.co/handle/unal/6729En este trabajo, se realiza un estudio de la dimensión del álgebra generada por dos matrices conmutantes mediante dos métodos diferentes; en el primero se usan herramientas del álgebra lineal y en el segundo se usan razonamientos de la geometría algebraica. Además, se realiza un estudio de la irreducibilidad de la variedad de m-uplas de matrices conmutantes de tamaño n x n para valores de m y n particulares. / Abstract. In this work, it was made a study of the dimension of the algebra generated by two commuting matrices by two different methods; the first one uses only tools of linear algebra and the other one bases its reasoning on elements of algebraic geometry. We also performed a study of the irreducibility of the variety of m-tuples of commuting n x n matrices for some values of m and n (Texto tomado de la fuente).In this work, it was made a study of the dimension of the algebra generated by two commuting matrices by two different methods; the first one uses only tools of linear algebra and the other one bases its reasoning on elements of algebraic geometry. We also performed a study of the irreducibility of the variety of m-tuples of commuting n × n matrices for some values of m and n.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/510 Matemáticas / MathematicsTrabajo de grado - Maestríahttp://bdigital.unal.edu.co/2805/info:eu-repo/semantics/openAccessÁlgebra generada por dos matrices conmutantesVariedad de matrices conmutantesMatrices que conmutan con su traspuestaAlgebra generated by two commuting matricesCommuting matrices varietyMatrices commuting with its transpose