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2.8 Eigenvalues and Eigenvectors 阅读笔记
特征值和特征向量 reference的内容为唯一教程，接下来的内容仅为本人的课后感悟，对他人或无法起到任何指导作用。 Reference Course website: Eigenvalues and Eigenvectors | Unit II: Least Squares, Determinants and Eigenvalues | Linear Algebra | Mathematics | MIT OpenCo2.10 Geometric View of Eigenvalues and Eigenvectors 阅读笔记
特征向量和对角化的几何意义 (涉及基变换) reference的内容为唯一教程，接下来的内容仅为本人的课后感悟，对他人或无法起到任何指导作用。 Reference Extra videos (3Blue1Brown): Change of basis | Chapter 13, Essence of linear algebra - YouTube Eigenvectors and eigenval6. Eigenvalues and Eigenvectors
Keys: What are Eigenvalues and Eigenvectors? How to find Eigenvalues and Eigenvectors? Applications of Egenvalues and Eigenvectors: Difference equation \(u_{k+1}=Au_k\) Solution of \(\frac{du}{dt}=Au\) Markov Matrices Projections and Fourier Serieschapter18——PCA实现
1 手写实现PCA import numpy as np class PCA(): # 计算协方差矩阵 def calc_cov(self, X): m = X.shape[0] # 数据标准化，X的每列减去列均值 X = (X - np.mean(X, axis=0)) return 1 / m * np.matmul(X.T, X) def pca(self, X, n