3) Consider the system

i(t) = Ax(t),

where x(t) = R³ and y(t) = R;

and

A =

y(t) = cx(t),

-1.4 0.1 -0.2

-1.6 0.4 -0.8

-2 3.5 -2

c=(-1.6, 1.4, -0.8).

Compute a matrix Le R³x1 such that the eigenvalues of A Le associated with the

observable modes of the observer system are at -1 ± 2j.