Let $A \in \mathbb{R}^{N \times N}$ be a D4571: Real matrix such that
| (i) | $\lambda \in \mathbb{C}$ is a D1207: Complex number |
| (ii) | $z \in \mathbb{C}^{N \times 1} \setminus \{ \boldsymbol{0} \}$ is a D5689: Complex column matrix |
| (iii) | \begin{equation} A z = \lambda z \end{equation} |
Then
\begin{equation}
A \overline{z}
= \overline{\lambda} \overline{z}
\end{equation}