Most are introduced to the interplay between physics and linear algebra through the study of the mass - spring system where the type (real or complex), sign and

Most are introduced to the interplay between physics and linear algebra through the study of the mass - spring system where the type (real or complex), sign and amount of the eigenvalues determine its behavior and stability. For example, complex eigenvalues with positive real part indicate an unstable, or chaotic, in terms of amplitude convergence oscillation.