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I expect to spend a lot of time writing about matrices on this blog, and so I wanted to make a single post where I can put all my thoughts on various different structure revealing decompositions for a matrix. Structure Revealing Decompositions So, what is a structure revealing decomposition? Well, the simplest answer is to restate the name itself: a structure revealing decomposition is a decomposition of one matrix into a product of other matrices that reveals some structure of the original matr...