Multiple choice

A linear system is equivalently represented by two sets of state equations; $\bar X = AX + BU$ and W = CW + DU. The eigen values of the representations are also computed as $[\lambda]$ and $[\mu]$. Which of the following statements is true?

  1. $[\lambda] = [\mu] \ and \ X =W $
  2. $[\lambda] = [\mu] \ and \ X \ne W $
  3. $[\lambda] \ne [\mu] \ and \ X = W $
  4. $[\lambda] \ne [\mu] \ and \ X \ne W $
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation