Whenever we create the Levi-Civita image to be a determinant like we did above, the thoroughly antisymmetric residence that it possess turns into apparent: swapping any two indices corresponds to interchanging their corresponding rows while in the matrix resulting from which the determinant, and that is the Levi-Civita by itself, https://levis4d69257.bloggazza.com/26419158/not-known-factual-statements-about-levis-4d