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Electronics and Communication
Control Systems
Difficulty: Medium
With the conventional notation \[\mathop {\rm{X}}\limits^ \cdot \] = 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?
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