线性代数应该这样学，英文版本。书起点较低，不需要太多预备知识，而特色鲜明，是公认的阐述线性代数的经典佳作。原书自出版以来，迅速风靡世界，在30多个国家为200多所高校所采用，其中包括斯坦福大学和加州大学伯克利分校等著名学府。

矩阵代数的书，以统计的视角出发，内容覆盖了统计中常用到的矩阵代数知识。 This book presents matrix algebra in a way that is well-suited for those with an interest in statistics or a related discipline. It provides thorough and unified coverage of the fundamental concepts along with the specialized topics encountered in areas of statistics such as linear statistical models and multivariate analysis. It includes a number of very useful results that have only been available from relatively obscure sources. Detailed proofs are provided for all results. The style and level of presentation are designed to make the contents accessible to a broad audience. The book is essentially self-contained, though it is best-suited for a reader who has had some previous exposure to matrices (of the kind that might be acquired in a beginning course on linear or matrix algebra). It includes exercises, it can serve as the primary text for a course on matrices or as a supplementary text in courses on such topics as linear statistical models or multivariate analysis, and it will be a valuable reference.

Introduction to Linear Algebra(5th edition 2016)文字版！不是扫描版，带章节标题！

MIT 大牛Gilbert Strang 编写的《 Introduction to Linear Algebra》第五版 2016年出版的，是网易公开课http://open.163.com/special/opencourse/daishu.html：MIT公开课：线性代数的指定教程，视频中所讲的新的内容在第四版中没有，在这个版本中有对应的章节。配套此教材同时观看Gilbert Strang大牛的公开课，深入掌握线性代数不再是难事！

这套笔记是对线性和多线性代数研究的面向活动的介绍。

Shafarevich的《linear Algebra and Geometry》，线代经典。

Modern Computer Algebra - Von Zur Gathen, Gerhard.djvu, 剑桥出版，1999年第一版

《Introduction to Linear Algebra》(5th edition 2016) [Gilbert Strang] 英文原版

Hungerford代数学经典书，涵盖群论，环论，域论，模，范畴论不多说，查代数方面资料很方便

用矩阵的角度介绍了李群李代数的知识，通俗易懂，并且讨论了几个常见的矩阵子群作为李群的结构。对了解在黎曼流形上的机器学习有一些帮助。