Proving Relationship: Epsilon-Delta Decomposition for Tensors

[vortmax]

Homework Statement

Prove the following relationship:

$$\epsilon$$_pqi$$\epsilon$$_pqj = 2$$\delta$$_ij

Homework Equations

The Attempt at a Solution

All I have so far is the decomposition using the epsilon-delta

$$\epsilon$$_pqi$$\epsilon$$_pqj = $$\epsilon$$_qip$$\epsilon$$_pqj
$$\epsilon$$_qip$$\epsilon$$_pqj = $$\delta$$_qp$$\delta$$_iq - $$\delta$$_qj$$\delta$$_iq

have no idea where to turn next

 

[lanedance]

Hi vortmax, do you have a definition for the e_ijk (levi cevita) and understand the summation?

You could do it reasonably simply just by evaluating ij cases for both the levi cevitas & kronecka deltas (probably all you really need to do is i=j & i<>j cases)