• Refine Query
  • Source
  • Publication year
  • to
  • Language
  • 1
  • Tagged with
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

A essÃncia dos determinantes na sua origem / The essence of determining its origin

Carlos DanÃsio Macedo Silva 24 April 2014 (has links)
nÃo hà / O objetivo deste trabalho à apresentar o conceito de determinantes no nÃvel secundÃrio a fim de mostrar suas origens e algumas demonstraÃÃes que sÃo omitidas nos livros didÃticos. Desenvolvemos a ideia dos determinantes de ordem 2 auxiliados pelos sistemas lineares de duas equaÃÃes e duas variÃveis, associando matrizes quadradas e mostrando na sua resoluÃÃo o denominador comum que se apresenta no cÃlculo de cada variÃvel. Apresentamos a mesma ideia para os determinantes de ordem 3, associando a um sistema linear 3 por 3 para, em seguida demonstrar a regra de Sarrus e comparÃ-la com a definiÃÃo geral de determinantes dada por Laplace. No Ãltimo capÃtulo apresentamos a definiÃÃo de determinantes usando permutaÃÃes sobre linhas ou colunas com o intuito de facilitar as demonstraÃÃes de algumas propriedades importantes que simplificam o cÃlculo de determinantes de ordem superior a 3. Ainda neste capÃtulo finalizamos com exercÃcios resolvidos de algumas questÃes consideradas complexas cuja soluÃÃo fica bastante facilitada com o uso das propriedades. / The goal of this work is to present the concept of determinants in high-school level in order to show its origins and to formulate some demonstrations which are omitted in school books. The concept of second order determinants were developed using two equations and two variables linear systems, associating them to square matrices and exhibiting the common denominator which results from the calculation of each variable. The same idea was applied to develop third order determinants, this time associating with a 3 equations in 3 variables linear system to, then, demonstrate the rule of Sarrus and compare it with the general definition for determinants introduced by Laplace. In the last chapter, itâs presented the definition of determinants using permutations in rows or columns in order to favor the demonstration of some important properties which simplify the calculation of determinants of order greater than 3. The chapter ends with the resolution of some complex questions whose calculation is much easier with the use of those properties.

Page generated in 0.1416 seconds