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Finding the range of the trace

  1. Oct 20, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the basis for the range of the following transformation: T(A)=tr(A)


    2. Relevant equations
    tr(A)=a(1,1)+a(2,2)+.....+a(n,n) {not a multiple of but just subscripts of the entries of the diagonal elements}


    3. The attempt at a solution

    Since the elements can be any real number, the range R(T)= all real numbers on the number line(i.e R^1). So I guess the basis is just 1? Is this right?
     
  2. jcsd
  3. Oct 21, 2008 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, that is true.
     
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