Consider the following system whose state space representation is as follows...

Consider the following system whose state space representation is as
follows:

x'1 0 0 0 x1
1




x'2 = 1 0 0 x2 + 0
u




x'3 0 1 0 x3
1

y(t) = x1 + 2x2 +x3



Find the transfer function of the system.

Compute eAt using the infinite series method.

Compute eAt using the eigenvalues and eigenvectors method.

Compute eAt using the partial fraction method.

Using MATLAB ,Plot x1(t), x2(t), and x3(t),and y(t), when u(t) is a
unit step input.