Orthogonal Projections: Theory and Applications

In course

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Description

This lecture covers the theory and applications of orthogonal projections, focusing on the Gram-Schmidt process for orthonormalization. It explains how to find an orthonormal base from a given base, ensuring independence and meeting specific criteria. The lecture also discusses the properties of orthogonal projections and their minimal polynomials, emphasizing diagonalizability.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_gwq41hcy

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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