User:HeroofTime55



\mathbf{X}(t) = \begin{bmatrix} X_1(t) \\ X_2(t) \\ X_3(t) \\ \end{bmatrix} $$



\mathbf{L} = \begin{bmatrix} F_1 & F_2 & F_3 \\ P_1 & 0 & 0\\ 0 & P_2 & 0\\ \end{bmatrix} $$



\mathbf{X}(1) = \mathbf{L} \times \mathbf{X}(0) $$



\mathbf{X}(2) = \mathbf{L} \times \mathbf{X}(1) = \mathbf{L} \times \mathbf{L} \times \mathbf{X}(0) = \mathbf{L}^2 \times \mathbf{X}(0) $$



\mathbf{X}(n) = \mathbf{L}^n \times \mathbf{X}(0) $$