operadores lineares
DESCRIPTION
Operadores Ortogonais, operador simétrico, operador inversível, mudança de base. exercício e explicaçãoTRANSCRIPT
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Operadores Lineares
Òperadores Lineares:
Para as matrizes quadradas, existem propriedades particulares, que veremos agora.
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Operadores Lineares
Operadores inversíveis:
Um operador T: V -> V associa a cada vetor ∈ V um vetor T(v) ∈ V.
Se por meio de outro operador S for possível inverter essa correspondência, de tal
modo que a cada vetor transformado T(v), se associe o vetor de partida v, diz-se que S é
operador inverso de T e se indica por t-1.
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Operadores Lineares
Propriedades dos operadores inversíveis:
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Operadores Lineares
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Operadores Lineares
Então:
Entrada (4x-3y) (-2x+2y) Saída1 1 1 01 3 -5 42 5 -7 6-1 -3 5 -4-5 -5 -5 0
Inversa(x+3/2y) (x+2y)
1 11 32 5-1 -3
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
Mudança de base
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Operadores Lineares
Mudança de base
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Operadores Lineares
Mudança de base
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Operadores Lineares
Mudança de base
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Operadores Lineares
Mudança de base
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Operadores Lineares
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Operadores Lineares
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Operadores Lineares
Operador ortogonal
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Operadores Lineares
Operador simétrico
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Operadores Lineares
Operador simétrico
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Operadores Lineares
Operador ortogonal e simétrico
Exercícios:
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Operadores Lineares
Operador ortogonal
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Operadores Lineares
Operador ortogonal
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Operadores Lineares
Operador ortogonal
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Operadores Lineares
Operador ortogonal
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Operadores Lineares
Operador ortogonal