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## Homework Statement

use the relationship ε[itex]_{ijk}[/itex] ε[itex]_{klm}[/itex]=δ[itex]_{il}[/itex]δ[itex]_{jm}[/itex]

**-δ[itex]_{im}[/itex]δ[itex]_{jl}[/itex] to find an alternative expression for ε[itex]_{ijk}[/itex]ε[itex]_{ilm}[/itex]. Hence simplify ε[itex]_{ijk}[/itex]ε[itex]_{ijm}[/itex]**

2. Homework Equations

2. Homework Equations

I know that the kronecker delta is 1 for i=j and 0 for i not equal to j. and that the alternating tensor is 0 for any I,j,k equal. +1 if (I,j,k)= (1,2,3) or (2,3,1) or (3,1,2) and -1 for (3,2,1) or (1,3,2) 0r (2,1,3). I also know that the alternating tensor is unchanged under cyclic permutations of its suffices. I know I am supposed to use all these facts but I am unsure how.

Help would be appreciated.

Thanks.