Lecture

Orthogonal Subspace: Vector Space

Description

This lecture discusses the concept of a vector subspace containing all vectors orthogonal to a given vector in a vector space. It demonstrates that the orthogonal subspace is indeed a vector subspace of the original space, emphasizing the properties of orthogonality and linearity. The lecture also covers the determination of the subspace dimension and provides examples to illustrate the theoretical concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_jgvkwc9b

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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