After we compose the Levi-Civita image being a determinant like we did over, the totally antisymmetric residence that it possess will become obvious: swapping any two indices corresponds to interchanging their corresponding rows while in the matrix as a result of which the determinant, that is the Levi-Civita alone, adjustments https://rylanbaxsn.isblog.net/levis-4d-for-dummies-43872587