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Determinant of a Complex Matrix

  1. Aug 26, 2011 #1
    Hi,

    Is det(A*)=(det(A))*, and why? Here ()* means complex conjugate only, and A is a complex matrix.

    Thanks in advance
     
  2. jcsd
  3. Aug 26, 2011 #2
    Yes. The determinant is a polynomial with real coefficients of the entries in A, and for any polynomial p in n variables with real coefficients, p(x_1*, x_2*, ... , x_n*) = p(x_1, x_2, ... , x_n)*.
     
  4. Aug 27, 2011 #3
    Ok I see. Thanks a lot

    Regards
     
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