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The-Art-of-Linear-Algebra

Graphic notes on Gilbert Strang's "Linear Algebra for Everyone"

图释 Gilbert Strang 的 “给每个人的线性代数”

中译说明:

中文版尚在翻译中, 欢迎issue提出问题或pr共建, 万分感激!

英文与日文原版仓库为kenjihiranabe/The-Art-of-Linear-Algebra, 中文版在仓库kf-liu/The-Art-of-Linear-Algebra-zh-CN中 (也会定期提pr到英文与日文原版的仓库), 欢迎✨star中文版仓库以跟进最新的中文译版.

全文输出文件:

中文版本 "The-Art-of-Linear-Algebra-zh-CN.pdf" 与 中文最新版"kf-liu/The-Art-of-Linear-Algebra-zh-CN/The-Art-of-Linear-Algebra-zh-CN.pdf"

英文版本 "The-Art-of-Linear-Algebra.pdf"

日文版本 "The-Art-of-Linear-Algebra-j.pdf"

摘要

我尝试为 Gilbert Strang 在书籍 “Linear Algebra for Everyone” 中介绍的矩阵的重要概念进行可视化图释, 以促进从矩阵分解的角度对向量、矩阵计算和算法的理解. 它们包括矩阵分解 (Column-Row, CR)、高斯消去法 (Gaussian Elimination, LU)、格拉姆-施密特正交化 (Gram-Schmidt Orthogonalization, QR)、特征值和对角化 (Eigenvalues and Diagonalization, QΛQ')、和奇异值分解(Singular Value Decomposition, UΣV').

5种分解

也包括其他图形.

特征值图

特征值图

矩阵世界

矩阵世界

许可证

英文与日文版本许可证见原文, 译者行文时, 原文版本使用 CC0-1.0 许可证.

中文版本使用Creative Commons License许可证, 请勿商用.

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