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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 orthogonal diagonalization of a symmetric matrix through the use of orthonormal bases. It explains how to determine the characteristic polynomial of a matrix, find its distinct roots, and orthogonalize it using the Gram-Schmidt method. The process of finding an orthonormal basis and diagonalizing the matrix is detailed step by step, emphasizing the importance of using an orthogonal basis. The lecture also delves into the properties of symmetric matrices and the conditions under which a matrix can be orthogonally diagonalized.