Once we write the Levi-Civita image as being a determinant like we did above, the fully antisymmetric home that it have turns into obvious: swapping any two indices corresponds to interchanging their corresponding rows inside the matrix on account of which the determinant, that is the Levi-Civita by itself, modifications https://emilianopolid.blogerus.com/49350941/a-review-of-levis-4d