Whenever we create the Levi-Civita symbol as being a determinant like we did earlier mentioned, the thoroughly antisymmetric property that it have turns into evident: swapping any two indices corresponds to interchanging their corresponding rows in the matrix on account of which the determinant, that is the Levi-Civita by itself, https://levis-4d15814.blogdosaga.com/26623175/levis4d-things-to-know-before-you-buy