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Sistemas de ecuaciones - Problemas y ejercicios de matematica

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Sistemas de Ecuaciones

 

 

 

 

 

En matemáticas un sistema de ecuaciones lineales (o sistema lineal) es una colección de ecuaciones lineales que involucran al mismo conjunto de variables. Por ejemplo

 

 

 

 

 

 

Es un sistema de 2 ecuaciones con las variables x e y. La solución a un sistema lineal es la asignación de números a la variable, de forma tal que todas las ecuaciones queden simultáneamente satisfechas. Una solución al sistema anterior es

 

 

 

 

 

 

El conjunto de todas las soluciones posibles a un sistema se llama conjunto solución.
Los sistemas lineales pueden comportarse de 3 maneras posibles:

1.- El sistema tiene una única solución (sistema compatible determinado)
2.- El sistema tiene infinitas soluciones (sistema compatible indeterminado)
3.- El sistema no tiene solución (sistema incompatible)

 

 

 

Additional information