Lecture

Orthogonal Projection: Theory and Applications

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In course

MATH-111(g): Linear Algebra

L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire et ses applications. ...

Description

This lecture covers the theory of orthogonal projection in vector spaces, focusing on decomposing vectors into components along and orthogonal to a given vector. It explains the concept of projection, properties of projection operators, and the spectral decomposition theorem. The lecture also discusses the practical applications of orthogonal projection in characterizing vector spaces and determining distances between vectors.

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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