Consider a linear system whose state space representation is ˙x(t)=Ax(t).If the initial state vector of the system is x(0)=[1−2],then the system response is x(t)=[e−2t−2e−2t]. If the initial state vector of the system changes to x(0)=[1−1], then the system response becomes x(t)=[e−t−e−t].The eigen-value and eigen-vector pairs (λi,vi) for the system are

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