Raiz quadrada de matrizes de ordem nxn
Autor(a) principal: | |
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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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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). No. of bitstreams: 2 license_rdf: 21686 bytes, checksum: f60c8e7b7ea9f3ba141b21b00747aece (MD5) Raiz n - ézima latex.pdf: 242117 bytes, checksum: 7d459c4c2beab6abe7d825d3b2360693 (MD5) Previous issue date: 2014-03-07Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/6790/Raiz%20n%20-%20%c3%a9zima%20latex.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)[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. 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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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masterThesis |
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publishedVersion |
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 |
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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 |
dc.language.iso.fl_str_mv |
por |
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por |
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6600717948137941247 |
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600 600 600 600 |
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8398970785179857790 |
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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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UFG |
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Instituto de Matemática e Estatística - IME (RG) |
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Universidade Federal de Goiás |
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