Find the eigenvalues and eigenvector.
CME1.2 Given the following open-loop single-input, single-output three-dimensional linear time-invariant state equations, namely
[[x_(1)^(Ë™)(t)]]
x_(2)^(Ë™)(t)
x_(3)^(Ë™)(t)=[[0,1,0,0,1,-30,-4]]
-52
0[[x_(1)(t)]]
x_(2)(t)
x_(3)(t) [[0]]
0
1u(t)
y(t)=[[20,1,0]][[x_(1)(t)]]
x_(2)(t)
x_(3)(t) [0]u(t)