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Math Help - Difference between base and ordered base

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    MHF Contributor arbolis's Avatar
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    Difference between base and ordered base

    I don't understand what is the difference between a base and an ordered base of a vectorial space. Can you give me an example of a base and ordered base over a same vectorial space, say \mathbb{R}^2?
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    MHF Contributor arbolis's Avatar
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    Thank you for the link, but I've already read it before and it doesn't provide a concrete example as I'd like.
    Say I have the base \{ (0,1), (1,0) \} that generates \mathbb{R}^2 I think. Is it an ordered base? I'm not even sure it generates \mathbb{R}^2 but I think yes since I can write any vector of \mathbb{R}^2 as combination of the 2 vectors forming the base.
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    By the way, I update solution W^{\perp} \cap W of last question due to some mistake.
    Did you know ?
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    MHF Contributor arbolis's Avatar
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    Quote Originally Posted by math2009 View Post
    By the way, I update solution W^{\perp} \cap W of last question due to some mistake.
    Did you know ?
    Do you mean in this thread : http://www.mathhelpforum.com/math-he...ersection.html ?
    Thank you for all your help!
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