Once we generate the Levi-Civita symbol as being a determinant like we did above, 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, that's the Levi-Civita itself, improvements sign. The https://levis4d26924.wizzardsblog.com/26754013/levis-4d-an-overview