# Math Help - Kronecker Delta/Alternating Tensor Question

1. ## Kronecker Delta/Alternating Tensor Question

Hi, just a quick question on an identity involving the Kronecker Delta and the Alternating Tensor.

Just checking that I've got this right.

Simplify $\epsilon_{ijk} \epsilon_{pjk}$

I get:

$\epsilon_{ijk} \epsilon_{pjk} = \delta_{ip} \delta_{jj} - \delta_{ij} \delta_{jp}$

$= 3 \delta_{ip} - \delta_{ij} \delta_{jp}$

$= 3 \delta_{ip} - \delta_{ip}$

$= 2 \delta_{ip}$

Is this the answer in it's simplest form?