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Determinant and trace

  1. Apr 10, 2014 #1
    Hi. I am reading a physics text, and in one of the lines it uses the following relation:
    [tex]
    \mathrm{det}(\delta^\mu_\lambda +\frac{\partial \delta x^\mu}{\partial x^\lambda}) = 1 + \mathrm{Tr}\frac{\partial \delta x^\mu}{\partial x^\lambda}
    [/tex]
    where [itex]\mu [/itex] and [itex]\lambda [/itex] are matrix elements, and [itex]\delta^\mu_\lambda [/itex] is Kronecker's delta. I am trying to derive this, but I am not sure how. Help will be appreciated
     
    Last edited: Apr 10, 2014
  2. jcsd
  3. Apr 10, 2014 #2

    micromass

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  4. Apr 10, 2014 #3
    Hi. You are right... Thank you!
     
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