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 kernel and preimage of a linear application in a 3x3 matrix, defining them as the set of antecedents and the set of solutions of a system of equations, respectively. It also explores the properties of the kernel, showing it as a subspace of R³ and highlighting its stability under scalar multiplication and addition. Additionally, it presents a proposition regarding the kernel being a subspace of P³ and discusses the two possible cases when a certain condition is met.