Let $A, B \in \mathbb{C}^{N \times M}$ each be a D999: Complex matrix.
Let $\alpha, \beta \in \mathbb{C}$ each be a D1207: Complex number.

Then \begin{equation} \mathsf{tr}(\alpha A + \beta B) = \alpha \mathsf{tr}(A) + \beta \mathsf{tr}(B) \end{equation}