How to solve Matrix that consists of a variable

I have a Matrix like below

In this matrix, only the Z23 and Z32 are unknown, and Z23 = Z32. I had mannuly solved it and got the equation shown below

I was wondering if MATLAB can help me do such a calculation?

Answer 1

[Star Strider]

See if the linsolve function will do what you want.

syms Vs 
Iv = sym('I',[4 1]);
Zm = sym('Z', [4 4]);
Zm(1,[3 4]) = 0;
Zm(2,4) = 0;
Zm(3,1) = 0;
Zm(4,[1 2]) = 0;
Vv = [Vs; 0;0;0];
RHS = Zm*Iv;
S = linsolve(Zm, Vv)

.

[KEDI YAN]

Yes, it works! Could you explain what RHS is doing in the script?

[Star Strider]

The ‘RHS’ variable was a check that should not have ended up in my posted code! (I forgot to remove it.)

[KEDI YAN]

Cool cool. This is exactly what I need! I appreciate it.

[Star Strider]

As always, my pleasure!