Orthogonal Projection Theorems

In course

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Description

This lecture covers the theorems related to orthogonal projection, including the uniqueness of the decomposition of a vector into orthogonal components, the best approximation of a vector in a subspace, and the properties of orthogonal matrices. The lecture also explains the geometric interpretation of the theorems and provides examples of orthonormal bases and matrix operations.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_vslohfh3

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis, Tensor analysis

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