Product of Levi-Civita symbol is determinant? I am confused with how can one write product of Levi-Civita symbol as determinant? I want to prove 'epsilon-delta' identity and found this questions answers it. But I am stuck at product of Levi-Civita symbol
Proof relation between Levi-Civita symbol and Kronecker deltas in Group Theory
$$
\varepsilon_{ijk}\varepsilon_{lmn} = \begin{vmatrix}
    \delta_{il} & \delta_{im} & \delta_{in} \\
    \delta_{jl} & \delta_{jm} & \delta_{jn} \\
    \delta_{kl} & \delta_{km} & \delta_{kn} \\
  \end{vmatrix} 
$$
This Wikipedia article gives the above relation. I am confused how Product of Levi-Civita symbol is a determinant. Can someone explain?

This identity relates the product of the volumes spanned by two sets of three vectors (with a minus sign if the sets are oppositely oriented) in terms of the inner products of the individual vectors.
In particular, the determinant can be understood as computing the product of the volumes by projecting one set of vectors onto the other set.
