Whenever we produce the Levi-Civita symbol being a determinant like we did higher than, the fully antisymmetric home that it have gets evident: swapping any two indices corresponds to interchanging their corresponding rows from the matrix on account of which the determinant, which can be the Levi-Civita alone, alterations sign. https://levis4d36924.blogoxo.com/26798505/how-levis-4d-can-save-you-time-stress-and-money