[QUE/EPP-01024]

Consider \(S_{\mu\nu}\) to be a second rank tensor having the following properties:

1. \(S_{\mu\nu}\) is symmetric : \( S_{\mu\nu} = S_{\nu\mu} \);
2. \(S_{\mu\nu}\) is antisymmetric : \( S_{\mu\nu} = - S_{\nu\mu} \);
3. \(S\) is traceless:\( g^{\mu\nu} S_{\mu\nu} = 0\).

Show that the above properties are remain invariant under Lorentz transformations.