Lecture

Singular Value Decomposition: Applications and Interpretation

In course

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Description

This lecture covers the Singular Value Decomposition (SVD) method, explaining how to construct U, calculate Av₁ and Av₂, verify the results, complete the columns of U to form an orthonormal basis of R³, apply the Gram-Schmidt process, and interpret the SVD results in the context of matrix decomposition.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_f3iiqlf2

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Abstract algebra

Analysis: Functional analysis, Tensor analysis

Statistics

Data analysis: Regression analysis

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