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Non-symmetric matrix

  1. Apr 24, 2014 #1
    Do you know any example of matrix which is not symmetric and has real eigenvalues?
  2. jcsd
  3. Apr 24, 2014 #2


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    Gold Member

    Any lower (or upper) triangular matrix with a real diagonal would be an example.
    Starting from this example, you could generate as many others as you want by applying a change of basis that would render the matrix non-triangular, but keep its eigenvalues the same.
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