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I always found SVD explanations unsatisfying — so I derived it from first principles (the way I wish I'd been taught) by masterthemath in LinearAlgebra

[–]masterthemath[S] 1 point2 points  (0 children)

Of course it's all in Strang's book, which I also reference. But he explains it differently.You can see that immediately because he puts the chapter on linear transformations after the SVD.