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Homework Help: A transpose of a nonsingular matrix is nonsingular

  1. Apr 30, 2010 #1
    A transpose of a nonsingular matrix is nonsingular.

    This is true; however, how can this be done without using determinants?

    I know how to do this with determinants so please don't inform how to do this with determinants.
     
  2. jcsd
  3. Apr 30, 2010 #2
    Re: Transpose

    Use (AB)T = BTAT
     
  4. Apr 30, 2010 #3
    Re: Transpose

    Thanks got it.
     
  5. Apr 30, 2010 #4
    Re: Transpose

    :smile:
     
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