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ECE · Q91

Control Systems

Engineering and GATE · ECE · question 91

Q91

With the conventional notation \[ X ^ \] = AX + BU for the state description of a liner time-invariant network, examine the validity of the following statements relating to the matrix A: 1. A is symmetrical if the network is reciprocal. 2. The sum of the natural frequencies of the network is equal to the determinant of A. Which of these statements is/are true?

With the conventional notation = AX + BU for the state description of a liner time-invariant network, examine the validity of the following statements relating to the matrix A:
1. A is symmetrical if the network is reciprocal.
2. The sum of the natural frequencies of the network is equal to the determinant of A.
Which of these statements is/are true?
A.
Both 1 and 2
B.
1 only
Answer
C.
2 only
D.
Neither 1 nor 2

Answer: Option B

Solution

Answer: Option B
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