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???
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I think the diminsion is 2 because there are 2 "elements" or variables.
Originally Posted by 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??? You showed $\displaystyle E_1$ is a vector space of $\displaystyle \mathbb{R}^3$? How did you show that?
Last edited by dwsmith; May 11th 2010 at 02:35 PM.
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