Lecture

Diagonalization of Symmetric Matrices

Description

This lecture covers the diagonalization of symmetric matrices, focusing on the properties of orthogonal bases, spectral theorem, and spectral decomposition. It also discusses the orthogonality of eigenvectors and the proof of orthogonality for distinct eigenvectors. The instructor demonstrates the process of diagonalization in an orthonormal base and explains the significance of symmetric matrices in this context.

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Official source

https://mediaspace.epfl.ch/media/0_4wozoni5

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

Statistics

Data analysis: Regression analysis

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