1.

The state-variable formulation of a system is ẋ = Ax + Bu; y = [1 0] x where \(A = \left[ {\begin{array}{*{20}{c}}{ - 3}&1\\0&{ - 2}\end{array}} \right],\;B = \left[ {\begin{array}{*{20}{c}}2\\1\end{array}} \right]\) The system transformation would be

A. \(\frac{{s + 2}}{{{s^2} + 5s - 6}}\)
B. \(\frac{{2s + 5}}{{{s^2} + 5s + 6}}\)
C. \(\frac{{2s - 5}}{{{s^2} + 5s - 6}}\)
D. \(\frac{{s + 1}}{{{s^2} + 5s + 6}}\)
Answer» C. \(\frac{{2s - 5}}{{{s^2} + 5s - 6}}\)


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