\begin{equation}
\mathbf{RGB}_{out} = \mathbf{C}(\theta) \cdot \mathbf{RGB}_{in}
\end{equation}

\begin{equation}
\mathbf{C}(\theta) =
\begin{bmatrix}
1 + a_R \theta & b_R \theta & c_R \theta \\
a_G \theta & 1 + b_G \theta & c_G \theta \\
a_B \theta & b_B \theta & 1 + c_B \theta \\
\end{bmatrix}
\end{equation}

\begin{equation}
\mathbf{C}(\theta) \approx
\begin{bmatrix}
1 + k_{RR}\theta & k_{RG}\theta & k_{RB}\theta \\
k_{GR}\theta & 1 + k_{GG}\theta & k_{GB}\theta \\
k_{BR}\theta & k_{BG}\theta & 1 + k_{BB}\theta \\
\end{bmatrix}
\end{equation}

\begin{equation}
\theta_{\text{rad}} = \theta_{\text{deg}} \cdot \frac{\pi}{180}
\end{equation}

\begin{equation}
\begin{bmatrix}
R_{out} \\
G_{out} \\
B_{out}
\end{bmatrix}
=
\begin{bmatrix}
1 + k_{RR}\theta & k_{RG}\theta & k_{RB}\theta \\
k_{GR}\theta & 1 + k_{GG}\theta & k_{GB}\theta \\
k_{BR}\theta & k_{BG}\theta & 1 + k_{BB}\theta \\
\end{bmatrix}
\cdot
\begin{bmatrix}
R_{in} \\
G_{in} \\
B_{in}
\end{bmatrix}
\end{equation}