Let $A \in \mathbb{C}^{2 \times 2}$ be a D6159: Complex square matrix such that
(i) | \begin{equation} A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \end{equation} |
(ii) | \begin{equation} \Lambda = \begin{bmatrix} \lambda & 0 \\ 0 & \mu \end{bmatrix} \end{equation} |
Then
\begin{equation}
A \Lambda
=
\begin{bmatrix}
\lambda a & \mu b \\
\lambda c & \mu d
\end{bmatrix}
\end{equation}