Prove the following identities:

(a) \(\gamma_{\mu} \gamma_{u} \gamma_{ho}=g_{\mu u} \gamma_{ho}-g_{\mu ho} \gamma_{u}+g_{u ho} \gamma_{\mu}+i \epsilon_{\mu u ho \sigma} \gamma^{\sigma} \gamma^{5}\).

(b) \(\gamma^{\mu} \gamma_{\mu}=4, \gamma^{\mu} \gamma^{5} \gamma_{\mu}=-4 \gamma^{5}\), \(\gamma^{\mu} k \gamma_{\mu}=-2 ot k, \gamma^{\mu} \gamma^{5} k \gamma_{\mu}=2 \gamma^{5} ot k, \gamma^{\mu} k \ell \gamma_{\mu}=4 k \cdot \ell\), \(\gamma^{\mu} k \ell p ot \gamma_{\mu}=-2 ot p \ell k, \gamma^{\mu} ot k \ell p q \gamma_{\mu}=2(ot q k \ell ot p+ot p \ell k q q)\).