Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the fundamental theorem on singular values, discussing the existence of compatible bases in linear applications between Euclidean spaces. It explains the formation of orthonormal bases from eigenvectors, leading to orthogonal bases in the image space. The lecture also provides examples of finding orthonormal bases and eigenvectors for given matrices, emphasizing the importance of singular values in linear algebra.