I made the following change to my coding:
clc
clear all
close
syms s I1 I2 I3 Vs
Z = [(2*s+2) -(2*s+1) -1
-(2*s+1) (9*s+1) -4*s
-1 -4*s (4*s+1+s^-1)];
V = [Vs;0;0];
I = Z\V
I2 = I(2)
char(I(2))
Gs = sym('(char(I(2))*3*s)/Vs')
G3 = sym('(Vs*(8*s^3 + 10*s^2 + 3*s + 1))/(24*s^4 + 30*s^3 + 17*s^2 + 16*s + 1)*3*s/Vs')
MATLAB gave the following answer to Gs:
Gs = (3*s*char(i))/Vs
Notice the "I" has been changed to "i". I've never seen this phenomena before and I'm still as far away as I was before.