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Homework Help: Orthonormal system

  1. Jan 15, 2008 #1
    [SOLVED] Orthonormal system

    1. The problem statement, all variables and given/known data
    I have three vectors, u_1, u_2 and u_3, in R^4. I want to find an orthonormal system v_1, v_2 and v_3, where:

    span(u_1, u_2, u_3) = span(v_1, v_2, v_3).

    3. The attempt at a solution
    My "guess" is that I can just use Gram-Schmidt on u_1, u_2 and u_3 to find the orthonormal system, and the two vector-sets must span the same space, right?

    Thanks in advance,

    sincerely Niles.
  2. jcsd
  3. Jan 15, 2008 #2

    Tom Mattson

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    Staff Emeritus
    Science Advisor
    Gold Member

    Yes, you are supposed to use Gram-Schmidt.
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