Transmission line transformation of a load $Z_{L}$ to $Z$ is given by
\[Z=Z_{0} \frac{Z_{1}+j Z_{0} \tan (\beta l)}{Z_{0}+j Z_{\mathrm{L}} \tan (\beta l)}\]
- Show that the above transformation implies that the impedance $Z$ gets transformed to $Z_{L}^{*}$ for real $Z$.
- What is the importance of the result derived in (a) ?