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Math Help - Subspaces

  1. #1
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    Subspaces

    If I can describe the subspaces of R^3 as being lines, planes, all of R^3, and the zero vector then how can I describe D the space of all 2x2 diagonal matrices?

    Would it be correct to say: a "line" of 2x2 diagonal matrices, a "plane" of 2x2 diagonal matrices, all of D, and the zero matrix?

    Is there a term for a "line"/"plane" of matrices?
    Is there a term for a "line"/"plane" of functions?
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Not really. We'll just say "a two-dimensional subspace" instead of a "plane".
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