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Vector spaces

  1. Jan 29, 2009 #1
    Just have a question
    if U,V and W are over the same field K
    does it mean that dim U = dim V = dim W ?
     
  2. jcsd
  3. Jan 29, 2009 #2

    Ben Niehoff

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    No.

    For example, [itex]R^2[/itex] and [itex]R^3[/itex] are both over the same field R, but R^2 has dimension 2 and R^3 has dimension 3.
     
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