Whenever we create the Levi-Civita image as being a determinant like we did earlier mentioned, the totally antisymmetric property that it have gets evident: swapping any two indices corresponds to interchanging their corresponding rows in the matrix as a consequence of which the determinant, and that is the Levi-Civita alone, https://levis4d26814.tribunablog.com/5-simple-techniques-for-levis-4d-40858362