1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook