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ECE · Q210

Control Systems

Engineering and GATE · ECE · question 210

Q210

For the system described by \[ X ^ \] = AX match List-I with List-II and select the correct answer. List-I (Matrix A) List-II (Position of eigen values) a. \[ [ array*20c - 1&2\\ 0& - 2 array ]\] 1. One eigen value at the origin b. \[ [ array*20c - 1& - 2\\ - 2& - 4 array ]\] 2. Both the eigen value in the LHP c. \[ [ array*20c 0& - 1\\ 1&0 array ]\] 3. Both the eigen values in RHP d. \[ [ array*20c 1&0\\ 2&4 array ]\] 4. Both the eigen values on the imaginary axis

For the system described by = AX match List-I with List-II and select the correct answer.
List-I (Matrix A) List-II (Position of eigen values)
a. \left[ {\begin{array}{*{20}{c}} { - 1}&2\\ 0&{ - 2} \end{array}} \right] 1. One eigen value at the origin
b. \left[ {\begin{array}{*{20}{c}} { - 1}&{ - 2}\\ { - 2}&{ - 4} \end{array}} \right] 2. Both the eigen value in the LHP
c. \left[ {\begin{array}{*{20}{c}} 0&{ - 1}\\ 1&0 \end{array}} \right] 3. Both the eigen values in RHP
d. \left[ {\begin{array}{*{20}{c}} 1&0\\ 2&4 \end{array}} \right] 4. Both the eigen values on the imaginary axis
A.
a-2, b-1, c-3, d-4
B.
a-2, b-1, c-4, d-3
Answer
C.
a-1, b-2, c-4, d-3
D.
a-1, b-2, c-3, d-4

Answer: Option B

Solution

Answer: Option B
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