Whenever we compose the Levi-Civita image being a determinant like we did over, the thoroughly antisymmetric house that it have gets evident: swapping any two indices corresponds to interchanging their corresponding rows from the matrix as a result of which the determinant, which is the Levi-Civita by itself, changes signal. https://caidenfbvqj.livebloggs.com/32787206/the-smart-trick-of-levis4d-that-nobody-is-discussing