# Thread: Vector space

1. ## Vector space

Hi,

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

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

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

3. Originally Posted by lehder
Hi,

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

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

How did you show that?