1.

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

A. \(\sin {\rm{t}}\)
B. \(1 - {{\rm{e}}^{\rm{t}}}\)
C. \(1-\cos {\rm{t}}\)
D. \(0\)
Answer» E.


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