- #1
ftarak
- 12
- 0
Homework Statement
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]
Homework Equations
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.