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Matrix math proof

  1. Oct 14, 2008 #1
    1. The problem statement, all variables and given/known data
    Show (in complete detail) that X is a full column rank matrix if and only if
    X^TX is non-singular (invertible). Assume X is a real matrix.

    X^T is X transpose
    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Oct 14, 2008 #2


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    Re: Proof

    What does the fact that X is of full rank imply about X? Secondly what does the fact that (X^TX) being invertible imply about what the previous statement concludes?
  4. Oct 14, 2008 #3


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    Re: Proof

    Show an attempt at solving the problem, please? Or at least say why you can't.
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