When we produce the Levi-Civita symbol to be a determinant like we did previously mentioned, the totally antisymmetric house that it have becomes evident: swapping any two indices corresponds to interchanging their corresponding rows in the matrix due to which the determinant, that's the Levi-Civita by itself, changes indicator. Since https://levis4d50369.dsiblogger.com/59369989/the-smart-trick-of-levis4d-that-nobody-is-discussing