Calculate the characteristic impedance of a long transmission line that its transmission matrix is as follows:

\[
[T]=\left[\begin{array}{cc}
\frac{1}{2} & j \\
\frac{3}{4} j & \frac{1}{2}
\end{array}ight]
\]

1) \(\frac{\sqrt{3}}{3} \Omega\)
2) \(\frac{2 \sqrt{3}}{3} \Omega\)
3) \(\frac{3}{4} \Omega\)
4) \(\frac{1}{2} \Omega\)