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Math Help - Describing a subspace

  1. #1
    Junior Member
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    Jun 2009
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    Describing a subspace

    Hello

    What do i need to do to describe the following subspaces of R^3

    \left<{(1,1,1,)}\right>
    \left<{(1,2,3), (3,2,1,), (-2,-2,-2)}\right>

    Thanks
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  2. #2
    MHF Contributor

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    I assume you actually mean "the subspaces spanned by the vectors ...".

    Every subspace of R^3 is, geometrically, either
    1) a line through the origin
    2) a plane containing the origin
    3) all of R^3.

    Which are these?
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