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Homework Help: Basis for Vector Space

  1. Mar 23, 2010 #1
    1. The problem statement, all variables and given/known data

    My notes has the following statement, but I seem to have forgotten to write down the conclusion of the statement before my professor erased it from the board.

    "Any vector space V there will be a basis except for 1 type of space: "

    Any ideas as to what that 1 type of space is?

  2. jcsd
  3. Mar 23, 2010 #2
    perhaps "infinite dimensional"? They don't have a basis unless you assume the axiom of choice.
  4. Mar 23, 2010 #3


    Staff: Mentor

    Probably the space consisting of just the 0 vector.
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