- #1
typhoonss821
- 14
- 1
Hello everyone, I am stuck when I study Levi-Civita symbol.
The question is how to prove
[tex]\varepsilon_{ijk}\varepsilon_{lmn} = \det \begin{bmatrix}
\delta_{il} & \delta_{im}& \delta_{in}\\
\delta_{jl} & \delta_{jm}& \delta_{jn}\\
\delta_{kl} & \delta_{km}& \delta_{kn}\\
\end{bmatrix}[/tex]
where [tex]\varepsilon_{ijk}[/tex] represents Levi-Civita symbol and [tex]\delta_{il}[/tex] represents kronecker symbol.
Thank you very much^^
The question is how to prove
[tex]\varepsilon_{ijk}\varepsilon_{lmn} = \det \begin{bmatrix}
\delta_{il} & \delta_{im}& \delta_{in}\\
\delta_{jl} & \delta_{jm}& \delta_{jn}\\
\delta_{kl} & \delta_{km}& \delta_{kn}\\
\end{bmatrix}[/tex]
where [tex]\varepsilon_{ijk}[/tex] represents Levi-Civita symbol and [tex]\delta_{il}[/tex] represents kronecker symbol.
Thank you very much^^