Please provide a clear derivation of the problems

Assignment
Ri    Cgd+
vi
-
Rds
Cgs
gm
+
RL    vo
-
Cds
1. To derive the Z- and S-matrices of the given two-port network, we'll express the components using the given variables:
a) : Input resistance.
b) : Gate-to-source capacitance.
c) : Gate-to-drain capacitance.
d) : Transconductance
e) : Drain-to-source capacitance.
f) : Load Resistance.
Now, let's derive the Z-matrix and S-matrix:
For the Z-matrix:
: represents the input impedance seen from port 1 when port 2 is terminated with its characteristic impedance.
It includes and in parallel:
represents the impedance between port 1 and port 2 when port 2 is terminated with its characteristic impedance.
It includes and in series:
represents the impedance between port 2 and port 1 when port 1 is terminated with its characteristic impedance.
It includes and in series:
represents the input impedance seen from port 2 when port 1 is terminated with its characteristic impedance.
It includes and in parallel:
For the S-matrix:
The S-matrix elements can be calculated using the Z-matrix elements according to the relations:
This concludes the derivation of Z- and...