With the same setup as Q27 (matrices $A$, $B$, $I_q$, $r$, $F_n$), justify that the matrices $A$ and $B$ are diagonalizable over $\mathbb{R}$ and that, for all $n \in \mathbb{N}$, $F_{n} = A^{n} F_{0}$.
With the same setup as Q27 (matrices $A$, $B$, $I_q$, $r$, $F_n$), justify that the matrices $A$ and $B$ are diagonalizable over $\mathbb{R}$ and that, for all $n \in \mathbb{N}$, $F_{n} = A^{n} F_{0}$.