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Math Help - Vector space

  1. #1
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    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???
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  2. #2
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    I think the diminsion is 2 because there are 2 "elements" or variables.
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  3. #3
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    Quote Originally Posted by lehder View Post
    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?
    Last edited by dwsmith; May 11th 2010 at 02:35 PM.
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