Once we write the Levi-Civita image like a determinant like we did above, the thoroughly antisymmetric house that it have will become evident: swapping any two indices corresponds to interchanging their corresponding rows from the matrix on account of which the determinant, which is the Levi-Civita by itself, changes indicator. https://hectorrplgq.verybigblog.com/26554185/what-does-levis4d-mean