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 because of which the determinant, which happens to be the Levi-Civita by itself, https://levis4d58146.acidblog.net/57794826/the-basic-principles-of-levis4d