e prof. vilson schwantesprof. vilson schwantes
TRANSCRIPT
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e
PROF. VILSON SCHWANTESPROF. VILSON SCHWANTES
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Primeira parte.
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Matriz é um quadro ou uma tabela de elementos dispostos em ‘m’ linhas e ‘n’ colunas
Lembrando que:
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Matriz ordem
1
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Generalizando de outra forma:
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22 11
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Calcule o valor do determinante da matriz.
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CALCULE O DETERMINANTE DA MATRIZ.
DESAFIO
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CALCULE O DETERMINANTE DA MATRIZ.
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RESOLVA A EQUAÇÃO MATRICIAL.
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CALCULE O DETERMINANTE DA MATRIZ.
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RESOLVA A EQUAÇÃO MATRICIAL.
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É 2.
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Elemento aij
- 7
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COFATOR OU COMPLENTO ALGÉBRICO: Cij.
Soma ‘i+j’ for PAR não troca de sinal o Mij. Soma ‘i+j’ for
ÍMPAR troca de sinal o Mij.Qual é o cofator
do elemento 4?C23= 7
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Dada uma matriz, calcular a matriz COFATORA.
MATRIZ ADJUNTA.Dada a Matriz, calcular
a matriz adjunta.
Logo, Adjunta é:
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Calcular a matriz adjunta.
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Matriz inversa pelo processo da matriz cofatora.
Calcular, caso exista, a inversa da matriz:Lembrando que: (DP) . (DS) tem que ser difrente de ZERO.
Ou seja: Determinante diferente de ZERO. 5
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Resp.
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Respostas . .
Matriz inversa pelo processo da matriz cofatora.
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Determinante de 4ª ordem. Regra de Laplace.
A R/ Laplace pode ser aplicada para calcular o determinante de matrizes de ordem 2, 3 ou ordem maior que 3.
Como é muito trabalhosa, aplicaremos apenas a R/ Laplace para o cálculo de determinantes de ordem igual ou maior que 4.
Esta regra consiste em desenvolver o determinante segundo uma fila (linha ou coluna), multiplicando cada elemento da fila pelo seu cofator.
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Determinante de 4ª ordem. Regra de Laplace.Calcular o determinante de cada matriz.
-273
- 1
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Determinante de 4ª ordem. Regra de Laplace.Calcular o determinante de cada matriz.
A= 24B=
65
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Calcular o determinante da matriz.
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Calcular o determinante de cada matriz por LAPLACE.
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Parabéns!
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SISTEMA DE EQUAÇÕES LINEARES É formado por duas ou mais equações lineares.
RESOLUÇÃO DE SISTEMAS LINEARES.
Uma das importantes aplicações do estudo das matrizes é a possibilidade de resolução de equações lineares, que sob a forma matricial, possibilitam facilidade de cálculo. Desta forma, fazemos:
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Resolução de
Siga o roteiro de cálculos.
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Resolução de
1) Det=22
S=[2; 3]Siga
roteiro:
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1) Det= -27
2)
S= 2; 3; 5
1) Det= -15
2)
S=
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Cof=
1) Det=8
S={1; -1; 2; -2}
2 e 3 viaApostila.
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Você é capaz.Você consegue.
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Resolva o sistema linear.
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