A
$$
{equation}{ A = 
    \begin{bmatrix} A^{ED} & 0 & 0 \\ 0 & A^{BD} & 0 \\ 0 & 0 & A^{HD}\end{bmatrix} - 
    \begin{bmatrix} 0 & 0 & B^{ED} & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & B^{BD} & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & B^{HD}\end{bmatrix} \,
    \begin{bmatrix} G \end{bmatrix}^{-1} \, \frac{\partial U}{\partial y} \, \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \\ C^{ED} & 0 & 0 \\ 0 & C^{BD} & 0 \\ 0 & 0 & 0 \\ 0 & 0 & C^{HD} \\ 0 & 0 & 0\end{bmatrix}
    }
$$


C
$$
{equation}{ C = \begin{bmatrix} 0 & 0 \\ 0 & 0 \\ C^{ED} & 0 \\ 0 & C^{BD} \\ 0 & 0 \end{bmatrix} - 
    \begin{bmatrix} D^{IfW} & 0 & 0 & 0 & 0 \\ 0 &  D^{SrvD} & 0 & 0 & 0 \\ 0 & 0 &  D^{ED} & 0 & 0 \\ 0 & 0 & 0 & D^{BD} & 0\\ 0 & 0 & 0 & 0 & D^{AD}\end{bmatrix} \,
    \begin{bmatrix} G \end{bmatrix}^{-1} \, \frac{\partial U}{\partial y} \, \begin{bmatrix} 0 & 0 \\ 0 & 0 \\ C^{ED} & 0 \\ 0 & C^{BD} \\ 0 & 0 \end{bmatrix}}
$$

B
$$
{equation}{ B = \begin{bmatrix} 0 & 0 \\ 0 & 0 \\ B^{ED} & 0 \\ 0 & B^{BD} \\ 0 & 0 \end{bmatrix} \,
 \begin{bmatrix} G \end{bmatrix}^{-1} \, \frac{\partial U}{\partial u}
   }
$$


D
$$
{equation}{ D = \begin{bmatrix} D^{IfW} & 0 & 0 & 0 & 0 \\ 0 &  D^{SrvD} & 0 & 0 & 0 \\ 0 & 0 &  D^{ED} & 0 & 0 \\ 0 & 0 & 0 & D^{BD} & 0\\ 0 & 0 & 0 & 0 & D^{AD}\end{bmatrix} \,
    \begin{bmatrix} G \end{bmatrix}^{-1} \, \frac{\partial U}{\partial u}
   }
$$