The complex plane is equipped with an orthonormal coordinate system ($\mathrm{O}; \vec{u}, \vec{v}$). We consider the line $\mathscr{D}$ with equation $$7x - 3y - 1 = 0$$ We define the sequence $(A_{n})$ of points in the plane with coordinates $(x_{n}; y_{n})$ satisfying for all natural integer $n$: $$\left\{ \begin{array}{l} x_{0} = 1 \\ y_{0} = 2 \end{array} \quad \text{and} \quad \left\{ \begin{array}{l} x_{n+1} = -\frac{13}{2} x_{n} + 3 y_{n} \\ y_{n+1} = -\frac{35}{2} x_{n} + 8 y_{n} \end{array} \right. \right.$$ We denote by $M$ the matrix $\left( \begin{array}{cc} \frac{-13}{2} & 3 \\ \frac{-35}{2} & 8 \end{array} \right)$.
The complex plane is equipped with an orthonormal coordinate system ($\mathrm{O}; \vec{u}, \vec{v}$).\\
We consider the line $\mathscr{D}$ with equation
$$7x - 3y - 1 = 0$$
We define the sequence $(A_{n})$ of points in the plane with coordinates $(x_{n}; y_{n})$ satisfying for all natural integer $n$:
$$\left\{ \begin{array}{l} x_{0} = 1 \\ y_{0} = 2 \end{array} \quad \text{and} \quad \left\{ \begin{array}{l} x_{n+1} = -\frac{13}{2} x_{n} + 3 y_{n} \\ y_{n+1} = -\frac{35}{2} x_{n} + 8 y_{n} \end{array} \right. \right.$$
We denote by $M$ the matrix $\left( \begin{array}{cc} \frac{-13}{2} & 3 \\ \frac{-35}{2} & 8 \end{array} \right)$.