Lecture

Orthogonal Complement and Projection Theorems

Description

This lecture covers the concept of orthogonal complement and projection theorems in vector spaces, including the application of the TAF to matrices, the properties of subspaces, and the proof of theorems related to orthogonal complements. It also discusses the independence of vectors in an orthogonal family, the calculation of coefficients in linear combinations, and the projection of vectors onto subspaces.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_4eazkbrr

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Tensor analysis, Functional analysis, Vector analysis, Numerical analysis

Geometry: Euclidean geometry

Logic

Classical logic: First-order logic

Psychology

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