10. Consider an n-th order linear time-invariant state space realization, E: i= Ax+ Bu y =Cx+ Du

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10. Consider an n-th order linear time-invariant state space realization, E:
i = Ax+ Bu
y = Cx+ Du
Prove that if E is observable, for every Ae R, the matrix
A-A1
has rank n.
Transcribed Image Text:10. Consider an n-th order linear time-invariant state space realization, E: i = Ax+ Bu y = Cx+ Du Prove that if E is observable, for every Ae R, the matrix A-A1 has rank n.
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