Lecture

Singular Values, Fundamental Theorem

Description

This lecture covers the fundamental theorem on singular values, discussing the existence of compatible bases in linear applications between Euclidean spaces. It explains the formation of orthonormal bases from eigenvectors, leading to orthogonal bases in the image space. The lecture also provides examples of finding orthonormal bases and eigenvectors for given matrices, emphasizing the importance of singular values in linear algebra.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_412w1oky

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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