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Homework Help: Schmidt orthogonalization

  1. Sep 27, 2006 #1
    Hello,
    I must use this schmidt method to form an orthogonal set from the 4 column vectors: (1,1,-1,-1), (1,1,0,0,), (1,2,3,1), (0,1,0,1).
    the only examples i can find are for 2 2space vectors, and that has the eqns.:
    u1=v1
    u2 = v2 - proj(u1) v2

    i'm confused about how to expand that to 4 vectors in 4space, and also i think, about how to do projections.

    THANKS!
     
  2. jcsd
  3. Sep 28, 2006 #2

    Meir Achuz

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    Gold Member

    Do it step by step. After you have u1 and u2 do
    u3=v3-proj(u1)v3-proj(u2)v3, and so on.
    You should normallize the u's at each step.
     
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