Question

Given the identity
εᵢⱼₖ εₚᵩᵣ = det [δᵢₚ δᵢᵩ δᵢᵣ ]
[δⱼₚ δⱼᵩ δⱼᵣ ]
[δₖₚ δₖᵩ δₖᵣ]
where ε is the alternator and δ is the Kronecker delta, use indicial notation to find the simplest expressions fo εᵢⱼₖ εᵢᵩᵣ