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ECE · Q234

Control Systems

Engineering and GATE · ECE · question 234

Q234

Given \[A = [ array*20c 1&0\\ 0&1 array ]\] the state transition matrix eAt is given by

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]
Answer
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

Solution

Answer: Option B
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