A linear system is equivalently represented by two sets of state equations.
\[\dot{X}=\mathrm{AX}+\mathrm{BU} \text { and } \dot{W}=\mathrm{CW}+\mathrm{DU} \text {. }\]
The eigenvalues of the representations are also computed as $\{\lambda\}$ and $\{\mu\}$. Which one of the following statements is true?
- $[\lambda]=[\mu]$ and $X=W$
- $[\lambda]=[\mu]$ and $X \neq W$
- $[\lambda] \neq[\mu]$ and $X=W$
- $[\lambda] \neq[\mu]$ and $X \neq W$