This is LaTeX code:

[latex]
A(f',e') = I(f',f) \cdot A(f,e) \cdot I(e,e') = I(f,f')^{-1} \cdot A(f,e) \cdot I(e,e') = \left[ \begin{matrix} 1 & 1 \\ 1 & -2 \end{matrix} \right]^{-1} \cdot \left[ \begin{matrix} 1 & 1 & 1 \\ 1 & 0 & 0 \end{matrix} \right] \cdot \left[ \begin{matrix} 1 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 1 \end{matrix} \right] = \ldots = \frac{1}{3} \cdot \left[ \begin{matrix} 5 & 5 & 2 \\ 1 & 1 & 1 \end{matrix} \right]
[/latex]