Whenever we create the Levi-Civita image like a determinant like we did above, the thoroughly antisymmetric house that it have gets obvious: swapping any two indices corresponds to interchanging their corresponding rows while in the matrix because of which the determinant, which is the Levi-Civita by itself, changes signal. Look https://zanejvltc.fitnell.com/67385676/the-definitive-guide-to-levis4d