The standard eigenvalue problem to model coupled pendula

In this video, we transform the coupled pendula problem into a standard eigenvalue problem. We see how to use the cosine ansatz to transform our coupled ordinary differential equations into the exact form that we desire. This completes our introduction and sets us up for the next lesson in which we begin our exploration of eigenvalue theory. Viewers can find much more about the McCusker apparatus and an authentic modeling activity that gives rise to a standard eigenvalue problem in the real world on the support website for this project: http://www.appliedlinearalgebra.com/b...