- #1
Somali_Physicist
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Homework Statement
I have been working on defining the transpose in a tensorial view using the kroneck delta tensor.
Homework Equations
I will use tensor notation
The Attempt at a Solution
Let Tjk be a 2nd level tensor:
(Tjk)TP = Tkj
My first attempt is:
δjkTjk δkj = Tkj
However if tensor components are commutable by nature the above expression can be
δjkδkj Tjk = δjkTkk
the latter expression becoming ambigious, I can replace either k and acquire:
δjkTjj = Tjk
or
δjkTjj = Tkj