Raiz quadrada de matrizes de ordem nxn

Detalhes bibliográficos
Autor(a) principal: Mendonça Junior, Ronaldo Caetano de
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tde/2966
Resumo: Thetopicsarepresentedintheinterestofmakingitlessabstractcertainunfamiliar content to middle school students . To do this , create a chronology of operations and conditions that precede and enable the calculation of the nth Root of a Square Matrix . Initially a brief summary is made of arrays in Chapter 3 , diagonalization of matrices , creates this environment of initial conditions to calculate the roots of matrices , in Chapter 4 , is de…ned and calculated the square root of a matrix of order 3 , in order that by example number 13 , bring greater materiality to the reader , as in Chapter5startedtheworkofgeneralization,wherewede…neandcalculatethesquare of a matrix of order n root . Finally Chapter 6, covers all concepts constructed in the previous sections for defnition and presentation of the methodology for calculating the nth root of a square matrix .
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spelling Souza, Mário José dehttp://lattes.cnpq.br/4862963990848505Souza, Mário José deCosta, Eudes Antonio daDias, Ivonildes Ribeiro Martinshttp://lattes.cnpq.br/2870054975370144Mendonça Junior, Ronaldo Caetano de2014-08-29T17:40:42Z2014-08-292014-03-07MENDONCA JUNIOR, Ronaldo Caetano de. Raiz quadrada de matrizes de ordem nxn. 2014. 42 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, 2014.http://repositorio.bc.ufg.br/tede/handle/tde/2966ark:/38995/0013000004bq4Thetopicsarepresentedintheinterestofmakingitlessabstractcertainunfamiliar content to middle school students . To do this , create a chronology of operations and conditions that precede and enable the calculation of the nth Root of a Square Matrix . Initially a brief summary is made of arrays in Chapter 3 , diagonalization of matrices , creates this environment of initial conditions to calculate the roots of matrices , in Chapter 4 , is de…ned and calculated the square root of a matrix of order 3 , in order that by example number 13 , bring greater materiality to the reader , as in Chapter5startedtheworkofgeneralization,wherewede…neandcalculatethesquare of a matrix of order n root . Finally Chapter 6, covers all concepts constructed in the previous sections for defnition and presentation of the methodology for calculating the nth root of a square matrix .Os tópicos são apresentados com a preocupação de tornar menos abstrato determinados conteúdos não familiares para alunos do ensino médio. Para isso, criamos uma cronologia das operações e condições, que permitem e precedem o cálculo da Raiz Quadrada de Matrizes de Ordem nxn. Inicialmente é feito um resumo de matrizes, no Capítulo 3, diagonalização de matrizes, secriaoambienteinicialdascondiçõesparasecalcularasraízesdematrizes, no Capítulo 4 , é de…nida e calculada a raiz quadrada de uma matriz de ordem 3, a…m de quepeloexemplonúmero12, oferecermosmaiormaterialidadeaoleitor, jánoCapítulo 5 é iniciado o trabalho de generalização, onde de…nimos e calculamos a raiz quadrada de uma matriz de ordem n. Finalmente o Capítulo 6 aborda todos os conceitos construidos nas seções anteriores para a defnição e apresentação da metodologia para o cálculo da raiz n-ézima de uma matriz quadrada.Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2014-08-29T17:40:42Z No. of bitstreams: 2 license_rdf: 21686 bytes, checksum: f60c8e7b7ea9f3ba141b21b00747aece (MD5) Raiz n - ézima latex.pdf: 242117 bytes, checksum: 7d459c4c2beab6abe7d825d3b2360693 (MD5)Made available in DSpace on 2014-08-29T17:40:42Z (GMT). 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dc.title.por.fl_str_mv Raiz quadrada de matrizes de ordem nxn
dc.title.alternative.eng.fl_str_mv Square root of nxn matrices order
title Raiz quadrada de matrizes de ordem nxn
spellingShingle Raiz quadrada de matrizes de ordem nxn
Mendonça Junior, Ronaldo Caetano de
Matriz
Raiz N-ézima
Quadrada
Matrix
N-Root
MATEMATICA::MATEMATICA APLICADA
title_short Raiz quadrada de matrizes de ordem nxn
title_full Raiz quadrada de matrizes de ordem nxn
title_fullStr Raiz quadrada de matrizes de ordem nxn
title_full_unstemmed Raiz quadrada de matrizes de ordem nxn
title_sort Raiz quadrada de matrizes de ordem nxn
author Mendonça Junior, Ronaldo Caetano de
author_facet Mendonça Junior, Ronaldo Caetano de
author_role author
dc.contributor.advisor1.fl_str_mv Souza, Mário José de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/4862963990848505
dc.contributor.referee1.fl_str_mv Souza, Mário José de
dc.contributor.referee2.fl_str_mv Costa, Eudes Antonio da
dc.contributor.referee3.fl_str_mv Dias, Ivonildes Ribeiro Martins
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/2870054975370144
dc.contributor.author.fl_str_mv Mendonça Junior, Ronaldo Caetano de
contributor_str_mv Souza, Mário José de
Souza, Mário José de
Costa, Eudes Antonio da
Dias, Ivonildes Ribeiro Martins
dc.subject.por.fl_str_mv Matriz
Raiz N-ézima
Quadrada
topic Matriz
Raiz N-ézima
Quadrada
Matrix
N-Root
MATEMATICA::MATEMATICA APLICADA
dc.subject.eng.fl_str_mv Matrix
N-Root
dc.subject.cnpq.fl_str_mv MATEMATICA::MATEMATICA APLICADA
description Thetopicsarepresentedintheinterestofmakingitlessabstractcertainunfamiliar content to middle school students . To do this , create a chronology of operations and conditions that precede and enable the calculation of the nth Root of a Square Matrix . Initially a brief summary is made of arrays in Chapter 3 , diagonalization of matrices , creates this environment of initial conditions to calculate the roots of matrices , in Chapter 4 , is de…ned and calculated the square root of a matrix of order 3 , in order that by example number 13 , bring greater materiality to the reader , as in Chapter5startedtheworkofgeneralization,wherewede…neandcalculatethesquare of a matrix of order n root . Finally Chapter 6, covers all concepts constructed in the previous sections for defnition and presentation of the methodology for calculating the nth root of a square matrix .
publishDate 2014
dc.date.accessioned.fl_str_mv 2014-08-29T17:40:42Z
dc.date.available.fl_str_mv 2014-08-29
dc.date.issued.fl_str_mv 2014-03-07
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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dc.identifier.citation.fl_str_mv MENDONCA JUNIOR, Ronaldo Caetano de. Raiz quadrada de matrizes de ordem nxn. 2014. 42 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, 2014.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tde/2966
dc.identifier.dark.fl_str_mv ark:/38995/0013000004bq4
identifier_str_mv MENDONCA JUNIOR, Ronaldo Caetano de. Raiz quadrada de matrizes de ordem nxn. 2014. 42 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, 2014.
ark:/38995/0013000004bq4
url http://repositorio.bc.ufg.br/tede/handle/tde/2966
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dc.relation.references.por.fl_str_mv [1] Boldrini, Jose Luis. Algebra Linear. Editora Harbra, 1980. [2] Dante, Luiz Roberto. Contexto e Aplicações, Vol. 02, Editora Àtica, 2010. [3] Gordon, Crystal. Monterz. The Square Root Function of Matrix. Georgia State University, 2007. [4] Iezzi, Gelson. Hazzan, Samuel. Fundamentos de Matemática Elementar 4. Atual Editora, 1997. [5] Leithold, Luis. O Cálculo com Geometria Analítica, Vol. 01, Editora Harbra, 1977. [6] Steinbruch, Alfredo, Winterle, Paulo, Introdução a Àlgebra Linear. Pearson Educacion do Brasil, 1997
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