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Finite dimensional space

  1. Apr 12, 2010 #1
    1. The problem statement, all variables and given/known data
    How could I prove that the subset of a finite dimensional space is also finite dimensional?


    2. Relevant equations
    N/A


    3. The attempt at a solution
    I think it's more intuitive in the sense that since the vector space is finite dimensional the subset is forcibly finite dimensional.
     
  2. jcsd
  3. Apr 12, 2010 #2

    Fredrik

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    Staff Emeritus
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    Gold Member

    What is the definition of "finite dimensional"?

    Btw, I think you mean "subspace", not "subset".
     
  4. Apr 12, 2010 #3

    lanedance

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    Homework Helper

    do you mean subspace?

    any basis for the subpace will be contained in the finite dimensional space. What is the maximum number of linearly independent vectors in any subset of a finite dimensional space?
     
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