Prove that the infinitesimal rank-2 tensor \(\epsilon_{\mu u}\) introduced in Eq. (15.7) is antisymmetric in its indices, \(\epsilon_{\mu v}=-\epsilon_{v \mu}\), by requiring that Eq. (15.7) be consistent with Eq. (13.24) to first order in \(\epsilon_{\mu u}\).

Data from Eq. 15.7

Data from Eq. 13.24

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