Once we write the Levi-Civita image being a determinant like we did earlier mentioned, the totally antisymmetric property that it have becomes apparent: swapping any two indices corresponds to interchanging their corresponding rows during the matrix due to which the determinant, which happens to be the Levi-Civita by itself, modifications https://levis4d61582.uzblog.net/getting-my-levis-4d-to-work-41025651