After we write the Levi-Civita image being a determinant like we did previously mentioned, the completely antisymmetric property that it have will become apparent: swapping any two indices corresponds to interchanging their corresponding rows in the matrix as a result of which the determinant, which is the Levi-Civita itself, improvements https://jaredkifzv.mybjjblog.com/levis-4d-an-overview-40307793