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Lecture
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 concept of vector spaces in three dimensions, exploring the definition of a family of vectors, linear combinations, and subspaces in R³. The instructor explains how to determine if a family of vectors is free or linked, and how to find the coordinates of a vector in a given basis. The lecture also delves into the properties of subspaces in R³, including the conditions for a set to be a subspace and the alternatives when a vector is part of a subspace. Examples and exercises are provided to illustrate the theoretical concepts.