Lecture

Orthogonal Complement: Properties and Theorems

In course

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Description

This lecture covers the concept of orthogonal complement in vector subspaces, including the definition and properties of orthogonal complements. It also discusses the fundamental subspaces associated with a matrix and proves Theorem 6.12 regarding the orthogonal families. The lecture concludes with the demonstration of orthogonal bases and orthonormal bases in vector subspaces.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_wnnwahz1

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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