$$ \begin{bmatrix}C_{11} & C_{12} \\C_{21} & C_{22} \end{bmatrix}=\begin{bmatrix}A_{11} & A_{12} \\A_{21} & A_{22} \end{bmatrix}\begin{bmatrix}B_{11} & B_{12} \\B_{21} & B_{22} \end{bmatrix} $$ $$ C_{11}=A_{11}B_{11}+A_{12}B_{21} \\ C_{12}=A_{11}B_{12}+A_{12}B_{22} \\ C_{21}=A_{21}B_{11}+A_{22}B_{21} \\ C_{22}=A_{21}B_{12}+A_{22}B_{22} \\ $$