Given \[A = \left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right]\] the state transition matrix eAt is given by
A. \[\left[ {\begin{array}{*{20}{c}} 0&{{e^{ - t}}}\\ {{e^{ - t}}}&0 \end{array}} \right]\]
B. \[\left[ {\begin{array}{*{20}{c}} {{e^t}}&0\\ 0&{{e^t}} \end{array}} \right]\]
C. \[\left[ {\begin{array}{*{20}{c}} {{e^{ - t}}}&0\\ 0&{{e^{ - t}}} \end{array}} \right]\]
D. \[\left[ {\begin{array}{*{20}{c}} 0&{{e^t}}\\ {{e^t}}&0 \end{array}} \right]\]
Answer: Option B
This Question Belongs to Electronics And Communications Engineering >> Control Systems
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