Lecture

Orthogonal Complement in Rn

Description

This lecture covers the concept of orthogonal complement in Rn, where a vector is orthogonal to a subspace if it is orthogonal to all vectors in that subspace. The lecture explains how to determine the orthogonal complement of a subspace and introduces the notation W+. Various propositions and theorems related to subspaces and orthogonal complements are discussed, providing a comprehensive understanding of the topic.

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Official source

https://mediaspace.epfl.ch/media/0_wb79x913

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis, Tensor analysis

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

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