Once we compose the Levi-Civita symbol to be a determinant like we did above, the absolutely antisymmetric property that it possess gets to be apparent: swapping any two indices corresponds to interchanging their corresponding rows from the matrix because of which the determinant, and that is the Levi-Civita itself, variations signal.The importance
Whenever we compose the Levi-Civita image to be a determinant like we did earlier mentioned, the entirely antisymmetric home that it have gets apparent: swapping any two indices corresponds to interchanging their corresponding rows within the matrix because of which the determinant, that's the Levi-Civita by itself, improvements signal.The importan
anonanon 152k1212 gold badges233233 silver badges398398 bronze badges $endgroup$ four $begingroup$ That's ideal thanks a bunch! I also posted an identical concern below: math.stackexchange.com/concerns/2135276/… that You may have some Perception on? $endgroup$The Levi-Civita symbol is most often used in three and four dimensions, and to some exte