Asked about Norms, projections and decompositions

What does SVD give you?

An answer that works

A decomposition of any matrix into rotations and a scaling. Truncating to the largest singular values gives the best low-rank approximation, which underlies compression, PCA and parameter-efficient methods like LoRA.

Reading an answer is not being able to give one. The section that teaches this is Norms, projections and decompositions, 5 hours of Linear algebra.

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