Determinantes, propriedades e métodos de condensação

Currently, the teaching of determinants has been restricted basically to memorizing formulas and properties, without providing a critical analysis of the historical context of formation and the production processes that generate such formulas and properties. To insert the subject within a histori...

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Detalhes bibliográficos
Autor principal: Martins, Jamerson Fernando Confort
Outros Autores: Pereira, Marcelo Gomes
Formato: Dissertação
Idioma:por
Publicado em: Universidade Federal do Rio Grande do Norte
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Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/20349
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Descrição
Resumo:Currently, the teaching of determinants has been restricted basically to memorizing formulas and properties, without providing a critical analysis of the historical context of formation and the production processes that generate such formulas and properties. To insert the subject within a historical context, the present work is developed from the study of linear systems. Then we introduce the definition of the determinant from the perspective of permutations and inversions, some properties that involve determinants and condensation methods such as Laplace’s Theorem and the Rule of Chio. Finally, we will work with applications involving the properties studied.