Eigenvectors are special vectors associated with a linear transformation that do not change direction when that transformation is applied. In the context of stability analysis and linearization, eigenvectors are crucial because they help determine the behavior of dynamical systems near equilibrium points. By analyzing the eigenvectors of a system's Jacobian matrix, we can understand how perturbations will evolve over time, which is key for assessing stability.
congrats on reading the definition of Eigenvectors. now let's actually learn it.