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Bases y Dimensión: ¿Verdadero o Falso?

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Bases y Dimensión: ¿Verdadero o Falso?

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About this activity

Desafía tus conceptos sobre bases y combinaciones.

Created by

alejandra chavarria
alejandra chavarria
Mexico

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Bases y Dimensión: ¿Verdadero o Falso?
 

Bases y Dimensión: ¿Verdadero o Falso?Online version

Desafía tus conceptos sobre bases y combinaciones.

by alejandra chavarria
1

Una base de un espacio vectorial de R^3 puede tener 4 vectores.

2

Todos los vectores de una base tienen la misma magnitud.

3

Un conjunto que genera el espacio debe ser linealmente independiente.

4

La dimensión de un espacio vectorial es el número de vectores en cualquier base.

5

Cualquier vector del espacio puede expresarse como combinación lineal única de vectores de una base.

6

Si una lista de vectores es una base, es linealmente independiente y genera el espacio.

7

La combinación lineal de vectores de una base no puede generar el vector cero.

8

Una combinación lineal de vectores de una base siempre genera el mismo espacio.

9

La dimensión de un espacio siempre es igual al número de vectores en cualquier conjunto que lo genere.

10

Cambiar a otra base no cambia la dimensión del espacio vectorial.

 
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