Orthogonal Bases and Projection Theorems

In course

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Description

This lecture covers the concept of orthogonal bases, the Gram-Schmidt algorithm for finding an orthonormal basis, and the projection theorems in vector spaces. It explains how to calculate orthogonal projections, the interpretation of the projection theorems, and their applications in solving systems of linear equations.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_xg6wxfrn

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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