Math Insight

Overview of: Asymptotic behavior of 2x2 discrete linear dynamical systems

Determining the long term behavior of two-dimensional discrete system by analyzing the eigenvalues and eigenvectors of the matrix found when writing the system as a matrix equation. In most cases, the behavior is determined by the eigenvalue with the largest magnitude (i.e., the dominant eigenvalue) and its eigenvector. The solution eventually grows at the rate of the dominant eigenvalue in direction of its eigenvector.

Points and due date summary

Total points: 1
Assigned: Feb. 2, 2022, 11:15 a.m.
Due: Feb. 9, 2022, 11:59 p.m.