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 $\displaystyle \epsilon_{ijk} \epsilon_{pjk}$

I get:

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

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

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

$\displaystyle = 2 \delta_{ip}$

Is this the answer in it's simplest form?

Thanks in advance