Create a state space model of the dynamic system whose differential equations are

$w^{}+3w^{}+20w-h-q=0$

$h^{}+7h=u_1$

$q^{}+2q=u_2$

where the inputs are $u_1$ and $u_2$ and the outputs are $h,q,w^{}.$ Use MATLAB to compute its eigenvalues.

Submission Rules

Upload a legible screenshot or $.$pdf of your solution where you: $(1)$ write out the problem statement $(2)$ show your state space equation development including the state definitions $-$ box your A$,$ B$,$ C and D matrices, $(3)$ you do not need to upload your MATLAB code, but write out the eigenvalues you obtained from it and box them.