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Official PYQ · 2014

GATE EC 2014 Set 2 Q46 — LTI Systems

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An unforced linear time invariant (LTI) system is represented by [x1x2]=[−100−2][x1x2]\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} If the initial conditions are x1(0)=1x_1(0)= 1 and x2(0)=−1x_2(0)= -1, the solution of the state equation is

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Answer: C

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