Linear Algebra, Eigenvalue, Eigenvectors.
characteristic equation det([a — λ, b; c, d — λ]) = 0. Solving this equation yields two eigenvalues, λ1 and λ2. Then, we substitute λ1 and λ2 back into the equation (A — λI)v = 0 to find the corresponding eigenvectors. Through this calculation process, we not only find the eigenvalues and