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Operador bilineal

De Wikipedia, la enciclopedia libre

En matemáticas, un operador bilineal es una multiplicación "generalizada" que cumple con la propiedad distributiva.

Definición

Dados 3 espacios vectoriales V, W y X sobre el mismo cuerpo F, un operador bilineal es una función

tal que para todo w en W (fija), la asignación

es un operador lineal de V a X, y para todo v en V (fija), la asignación

es un operador lineal de W a X.

Propiedades

  • si x=0 o y=0, siendo 0 el vector nulo.


Véase también

Esta página se editó por última vez el 8 dic 2020 a las 16:08.
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