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 concepts of linear independence, basis, and rank of a matrix. It explains how to determine if a set of vectors is linearly independent, how to find a basis for a vector space, and the relationship between the rank of a matrix and the dimension of its column space. The lecture also discusses the properties of the dimension of a vector space and provides examples and exercises to reinforce the understanding of these fundamental concepts.