1) So we want a power iteration programm in order to approach an eigenvector associated to the dominant eigenvalue of a matrix. This method is mostly used in order to classify the results of internet researches. We define a recurrence relation as : On dfinit une suite (vk)kN par rcurrence: v0vk+1Rp\{0}=Rvk1Rvk Programm this method in Python and test it on small size symmetric matrix. We have to observe the behaviour of the eigenvectors Vk and the relationship between the coefficients RVk et Vk