Lecture

Matrix Diagonalization: Spectral Theorem

Description

This lecture covers the process of diagonalizing matrices, focusing on symmetric matrices. It explains the spectral theorem, eigenvalues, eigenvectors, and the decomposition of symmetric matrices. The lecture also discusses the conditions for diagonalizability and the importance of orthonormal bases.

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Official source

https://mediaspace.epfl.ch/media/0_ums8kn23

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Polynomials, Abstract algebra, Equations

Analysis: Functional analysis, Numerical analysis

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