After we produce the Levi-Civita symbol as being a determinant like we did above, the totally antisymmetric assets that it possess turns into evident: swapping any two indices corresponds to interchanging their corresponding rows from the matrix resulting from which the determinant, which happens to be the Levi-Civita by itself, https://eduardomjfcw.losblogos.com/26499580/the-basic-principles-of-levis-4d