Operadores Lineares

CriatividadeZeroDocs 15,958 views 50 slides Oct 27, 2011

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Operadores Ortogonais, operador simétrico, operador inversível, mudança de base. exercício e explicação

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Language: pt

Added: Oct 27, 2011

Slides: 50 pages

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OperadoresLineares
ÒperadoresLineares:
Para as matrizes quadradas, existem propriedades particulares, que veremos agora.

OperadoresLineares
Operadoresinversíveis:
UmoperadorT:V->Vassociaacadavetor∈VumvetorT(v)∈V.
SepormeiodeoutrooperadorSforpossívelinverteressacorrespondência,detal
modoqueacadavetortransformadoT(v),seassocieovetordepartidav,diz-sequeSé
operadorinversodeTeseindicaport
-1
.

OperadoresLineares
Propriedadesdos operadoresinversíveis:

OperadoresLineares

OperadoresLineares
Então:
Entrada (4x-3y)(-2x+2y) Saída
1 1 1 0
1 3 -5 4
2 5 -7 6
-1 -3 5 -4
-5 -5 -5 0
Inversa
(x+3/2y)(x+2y)
1 1
1 3
2 5
-1 -3

OperadoresLineares

OperadoresLineares
Mudançade base

OperadoresLineares

OperadoresLineares
Operadorortogonal

OperadoresLineares
Operadorsimétrico

OperadoresLineares
Operadorortogonale simétrico
Exercícios:

OperadoresLineares
Operadorortogonal

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