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リニア・テック 別府 伸耕
@linear_tec
すべて「座標変換によって同じ処理を見やすく書きかえている」という話です． ●対角化 "P^-1AP = Λ" において "A" と "Λ" は本質的に同じ線形写像． ●特異値分解 "A = UΣV^T" において "A" と "Σ" は本質的に同じ線形写像．
The image is a detailed diagram explaining the concept of coordinate transformation in linear algebra, specifically focusing on the transformation of eigenvalues and singular value decomposition. It includes mathematical notations and equations such as "y = Bx = Q^-1APx" and "A = UΣV^T". The diagram is divided into sections showing the transformation of vectors and matrices, with labels in Japanese indicating the original space, transformed space, and the relationship between them. The post text by リニア・テック 別府 伸耕 (@linear_tec) emphasizes that these transformations are essentially the same linear mappings written in a more readable form through coordinate changes. This educational content is aimed at those studying or interested in advanced linear algebra concepts.
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