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Singular Value Decomposition (SVD): Mathematical Overview

Professor of Mechanical Engineering

12:50·2020·graduate level·Standalone Lecture

High-density applied math lecture connecting X = UΣV* directly to scientific computing, reduced-order modeling, and high-dimensional data compression.

Concise whiteboard derivation of data-driven matrix factorization X = UΣV*, economy SVD, rank-r Eckart–Young optimal approximation, and links to eigendecomposition.

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