(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the identity

[tex]

\epsilon_{ijk} \epsilon_{klm} = \delta_{ik} \delta_{jl} - \delta_{il} \delta_{jk}

[/tex]

as a shortcut to obtain the following results:

a) [tex]\epsilon_{ilm} \epsilon_{jlm}= 2\delta_{ij}[/tex]

b) [tex]\epsilon_{ijk} \epsilon_{ijk} = 6[/tex]

2. Relevant equations

3. The attempt at a solution

I tried to solve that by solving the determinant [tex]\epsilon_{ilm} \epsilon_{jlm}= [\delta][/tex] but the result just became zero. or even, I tried to change i=k and j=l in the first equation but the result was zero as well. I don't know what should I do, I'm really stuck.

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# Homework Help: Indicial notation proof

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