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The state variable representation of a system is given as
\[\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1\\ 0&{ - 1} \end{array}} \right]x,\,x\left( 0 \right) = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]\\ y = \left[ {0\,\,1} \right]x \end{array}\]
The response y(t) is

Answer & Solution
Correct Answer: Option D
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