ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation 0
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}