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if [itex]\epsilon_{ijk} P_{kj}=0[/itex] how do we show [itex]P_{ij}=P_{ji}[/itex]?

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- Thread starter latentcorpse
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- #1

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if [itex]\epsilon_{ijk} P_{kj}=0[/itex] how do we show [itex]P_{ij}=P_{ji}[/itex]?

- #2

dx

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Expand out the LHS for each i.

- #3

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do you mean just substitute in numbers and see what happens because that works - i was just wondering if i could do it without explicitly using numbers (i.e. all of it in index notation).

- #4

dx

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For i = j, clearly A

For example, setting i = 1 in ε

You just need to do the same with i = 2 and i = 3.

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