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Normal matrices

  1. Aug 10, 2010 #1

    can you help me with the proof? If A is normal
    then A and A^T have the same nullspace (kernel). And

    Thank you.
  2. jcsd
  3. Aug 10, 2010 #2
    [itex] A^TAx = 0 = AA^Tx [/itex] for the vectors in the nullspace right?
  4. Aug 10, 2010 #3
    don't understand your hint.
  5. Aug 10, 2010 #4
    multiply both by [itex]x^T[/itex] from the left, what is the resulting expression in terms of norms?
  6. Aug 11, 2010 #5
    yes, I understand, thank you
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