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Complex matrix, trace.

  1. Nov 15, 2013 #1
    1. The problem statement, all variables and given/known data

    Let P be 2x2 complex matrice such that trace(p)=1 det(p)=-6 then trace(p^4-p^3) equals what....?



    2. Relevant equations

    Is there any formula for trace(A^n)

    3. The attempt at a solution

    Let the two eigen values be a,b

    a+b=1 a*b= -6 solving we get a=(1+i√23)/2 and b =(1-i√23)/2

    Trace(p^4-p^3)=trace(p^4)-trace(p^3)
     
  2. jcsd
  3. Nov 15, 2013 #2

    Mark44

    Staff: Mentor

    Trace identities: http://en.wikipedia.org/wiki/Trace_(linear_algebra)
     
    Last edited: Nov 15, 2013
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