Aplicações da álgebra linear nas cadeias de Markov

• Autor(a) principal: Silva, Carlos Eduardo Vitória da
• Data de Publicação: 2013
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• dARK ID: ark:/38995/001300000501d
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/3480
• topic: Álgebra linear; Aplicações; Cadeias de Markov; Linear algebra; Applications; Markov Chains; MATEMATICA::MATEMATICA APLICADA

The theory of linear algebra and matrices and systems particularly are linear math topics that can be applied not only within mathematics itself, but also in various other areas of human knowledge, such as physics, chemistry, biology, all engineering, psychology, economy, transportation, administration, statistics and probability, etc... The Markov chains are used to solve certain problems in the theory of probability. Applications of Markov chains in these problems, depend directly on the theory of matrices and linear systems. In this work we use the techniques of Markov Chains to solve three problems of probability, in three distinct areas. One in genetics, other in psychology and the other in the area of mass transit in a transit system. All work is developed with the intention that a high school student can read and understand the solutions of three problems presented.