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Homework Help: Finding orthogonal basis for the nullspace of a matrix?

  1. Mar 23, 2009 #1
    1. The problem statement, all variables and given/known data

    Find an orthogonal basis for the nullspace of the matrix

    [2 -2 14]
    [0 3 -7]
    [0 0 2]

    2. Relevant equations

    3. The attempt at a solution

    The nullspace is x = [0, 0, 0], so what is the orthogonal basis? It can be anything can't it?
  2. jcsd
  3. Mar 23, 2009 #2


    Staff: Mentor

    The nullspace (or kernel) of this matrix is {(0, 0, 0)}. The zero vector is the only vector in this set, so you're done.
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