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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 Gaussian elimination algorithm with pivoting for solving linear systems. It explains the importance of pivoting even when the diagonal element is not zero, and how to choose the pivot. The lecture also discusses the LU factorization with pivoting, the use of permutation matrices, and the factorization of a matrix into a product of lower and upper triangular matrices. The instructor demonstrates the algorithm step by step and provides practical insights on implementing it in Python.