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Aplicaciones de las inversas generalizadas


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Author: Blanco Guillén, María Montaña
Director: Gago Vargas, Manuel Jesús
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2017-06
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: In this paper we start out the study of the generalized inverse of a matrix and some of its applications. These applications appear in different areas where it is necessary the computation of an analogous object to the inverse of a matrix. Mainly, we set out two problems. The first one is to solve problems of system of linear equations with constraints, where it is used the Bott-Duffin inverse of a matrix. The second one is to give a closed formula for the solution of a system of linear differential equations, and the Drazin inverse is defined to express the solution. Some examples and bibliographical references are given for each problem.
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