Vector space

Aug 2009
62
0
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???
 
May 2010
5
1
I think the diminsion is 2 because there are 2 "elements" or variables.
 

dwsmith

MHF Hall of Honor
Mar 2010
3,093
582
Florida
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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