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I Is the trace of a matrix independent of basis?

  1. Jan 23, 2017 #1
    Hello,

    Just wondering if the trace of a matrix is independent of basis, seeing as the trace of a matrix is equal to the sun of the eigenvalues of the operator that the matrix is a representation of.

    Thank you
     
  2. jcsd
  3. Jan 23, 2017 #2

    mfb

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  4. Jan 23, 2017 #3
    Thank you mfb!
     
  5. Jan 23, 2017 #4

    PeroK

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    What you might have meant is: if an operator is represented by a matrix ##M_1## in one basis, and ##M_2## in another basis, then is ##Tr(M_1) = Tr(M_2)##?

    There is an important point that an operator does not change by a change of basis, but the matrix representing an operator may change from basis to basis.
     
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