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UBA - CienciaS • Ver Tema - factorización LU
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Índice general » Materias » Matemática » Álgebra Lineal

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Agustin
 Asunto: factorización LU
NotaPublicado: 24 Abr 2010, 16:44 
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Registrado: 16 May 2008, 22:21
Mensajes: 194
Ubicación: Pilar, Bs. As.
Sea A tal que A tiene factorizacion A=LU (es decir que se puede escribir como producto de L una matriz triangular inferior y U triang superior) con L con 1's en la diagonal.

a)Demostrar que si A es inversible entonces A tiene factorizacion LU unica

b)Demostrar que si A es inversible entonces A tiene factorizacion A=LU donde U tiene 1's en la diagonal (pero no necesariamente L tiene que tenerlos)

c)Si A no es inversible ¿Sigue valiendo el resultado del item b)? Dependiendo de la respuesta, justificar haciendo la demostracion o dando un contraejemplo

solo ayuda con el c)
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Índice general » Materias » Matemática » Álgebra Lineal

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