# Vector space

#### lehder

Hi,

$$\displaystyle E_1={(-x+2y; 2y-3x; x+y} /(x;y) \in \mathbb{R}^3$$

I showed that $$\displaystyle E_1$$ is a vector space but i don't know how to determine it's dimension???

#### nosolution680

I think the diminsion is 2 because there are 2 "elements" or variables.

#### dwsmith

MHF Hall of Honor
Hi,

$$\displaystyle E_1={(-x+2y; 2y-3x; x+y} /(x;y) \in \mathbb{R}^3$$

I showed that $$\displaystyle E_1$$ is a vector space but i don't know how to determine it's dimension???
You showed $$\displaystyle E_1$$ is a vector space of $$\displaystyle \mathbb{R}^3$$?

How did you show that?

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