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「スペクトル分解」は線形変換における固有値の意味を明快に教えてくれます. これは技術者にとって,かなり馴染み深い話です.電子回路や制御システムなどの設計で線形の処理(フィルタなど)を実装するとき,「周波数ごとのゲイン」を考えます.これはまさにスペクトル分解そのものです.
The image is a detailed explanation of spectral decomposition in linear algebra, presented in Japanese. It includes mathematical formulas and explanations about eigenvalues and eigenvectors, which are fundamental concepts in linear transformations. The post text by リニア・テック 別府 伸耕 (@linear_tec) highlights the significance of spectral decomposition in understanding eigenvalues in linear transformations, which is particularly relevant for engineers dealing with electronic circuits and control systems. This context underscores the practical application of the mathematical concepts shown in the image, making it highly relevant for technical professionals.