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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 $X \neq W$