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Hyperplane question

  1. Apr 3, 2010 #1
    In studying for my Linear Algebra test on Monday, I came across a question in my textbook that defines a hyperplane and asks what the dimension of a hyperplane is in Rn. I immediately knew the answer to be n-1, but am having difficulty justifying this claim.

    The only thing I can think of now are geometric justifications in the cases of R2 and R3. Using only these, is it valid for me to say the dimension of a hyperplane in Rn is n-1 for any n?
  2. jcsd
  3. Apr 3, 2010 #2


    Staff: Mentor

    Look in your book for the definition of a hyperplane.
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