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GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

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Question : 59

Total: 65

Consider a linear time invariant system

=Ax with initial condition x(0) at t=0. Suppose α and β are eigenvectors of (2×2) matrix A corresponding to distinct eigenvalues λ1‌and‌λ2 respectively. Then the response x(t) of the system due to initial condition x(0)=α is

eλ1tα
eλ2tβ
eλ2tα
eλ1tα+eλ2tβ

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