# Homework Help: How to derive Relation between Levi-civita Density and Kronecker's Delta?

1. Aug 6, 2011

### Abir Sarkar

The Relation between Levi-Civita Density and Kroneckers Delta as follows

$\sum^{3}_{k=1} \epsilon_{mnk} \epsilon_{ijk} = \delta_{mi} \delta_{nj} - \delta_{mj} \delta_{ni}$​

Logically we can satisfy both sides of the expression but Can anyone tell me how to derive this analytically ?

2. Aug 6, 2011

### dextercioby

I don't think you can purely derive it, just consider that the RHS must be a-symmetric in m,n and i,j, so it must be an antisymmetrized product of deltas.