State Space Representation to Transfer Function (Made Easy by Matlab Aided Solution)

This video will teach how to solve state space to transfer function. Along with Matlab code for checking purposes.
Given the state space representation convert it to transfer function
The steps are:
1. Identification of Variable
2. sI-A
3. (sI-A)^-1
4. Insert to Formula: C(sI-A)^-1 B +D
MATLAB CODE: (CHECKING PURPOSES) and also can be used for Calculator
clc
clear all
syms s
%% USER INPUT
% x=Ax+Br A is n x n; B
% y=Cx
A=[-5 0;0 -1];
B=[3;0];
C=[3 2];
D=0;
%% PROCESS
sI=eye(length(A))*s
sI_A=sI-A
fprintf('

_____________________________

')
fprintf("adjoint(sI-A)")
num=adjoint(sI-A)
fprintf('

_____________________________

')
fprintf("determinant of (sI-A)")
determinant=det(sI-A)
inv_sI_A=num/determinant; %% (sI-A)^-1
C_num=C*num % The order is not interchangeable
C_num_B=C_num*B
%%
fprintf('

_____________________________

')
fprintf("Transfer function")
TF=C*inv_sI_A*B+D
TF=simplify(TF)

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