- #1
spookyfish
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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
[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
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