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Question about problem related to orthogonal complements

  1. Nov 2, 2011 #1
    1. The problem statement, all variables and given/known data
    If V is the orthogonal complement of W in Rn, is there such a matrix with row space V and nullspace W? Starting with a basis for V, construct such a matrix.

    3. The attempt at a solution
    I've been trying to use the fact that V is the left nullspace of the column space of W to get to a matrix with row space V but I haven't been able to get anywhere. A push in the right direction would be really helpful right now.
  2. jcsd
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