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Why is Ax in col(A) if (A^T)Ax=0

  1. Aug 15, 2009 #1
    Can someone explain why Ax is in col(A) if (A^T)Ax=0, A^T is the transpose.

    Note: Ax is also orthogonal to col(A),(so x=0) so don't let that confuse you.
     
  2. jcsd
  3. Aug 15, 2009 #2

    Hurkyl

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    Isn't Ax always in col(A), no matter what A and x are?
     
  4. Aug 15, 2009 #3
    Yes it is, I know see it, I missed it, thank for your answer.
     
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