线性代数领域的经典图书，MIT教授多年教学成果，国外专用考试指定用书，亦是模式识别，机器学习必备经典图书

线性代数的讲义，供大家下载学习，这个当时找了好久，

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！

The solution manual for linear algebra

TOPICS Chapters 1-6 provide coverage of applied linear algebra sufficient for reading the remainder of the book. Chapter 1: Matrices The chapter introduces matrix arithmetic and the very important topic of linear transformations. Rotation matrices provide an interesting and useful example of linear transformations. After discussing matrix powers, the concept of the matrix inverse and transpose concludes the chapter. Chapter 2: Linear Equations This chapter introduces Gaussian elimination for the solution of linear systems Ax = b and for the computation of the matrix inverse. The chapter also introduces the relationship between the matrix inverse and the solution to a linear homogeneous equation. Two applications involving a truss and an electrical circuit conclude the chapter. Chapter 3: Subspaces This chapter is, by its very nature, somewhat abstract. It introduces the concepts of subspaces, linear independence, basis, matrix rank, range, and null space. Although the chapter may challenge some readers, the concepts are essential for understanding many topics in the book, and it should be covered thoroughly. Chapter 4: Determinants Although the determinant is rarely computed in practice, it is often used in proofs of important results. The chapter introduces the determinant and its computation using expansion byminors and by rowelimination. The chapter ends with an interesting application of the determinant to text encryption. Chapter 5: Eigenvalues and Eigenvectors This is a very important chapter, and its results are used throughout the book. After defining the eigenvalue and an associated eigenvector, the chapter develops some of their most important properties, including their use in matrix diagonalization. The chapter concludes with an application to the solution of systems of ordinary differential equations and the problem of ranking items using eigenvectors. Chapter 6: Orthogonal Vectors and Matrices This chapter introduces the inner product and its associati

MIT的线性代数公开课，Gilbert Strong 老爷子的课程资料。包含讲稿，习题等等资料。个人觉得讲的很好，对于矩阵分析基础不好的同学可以多看多学一点

Revising this textbook has been a special challenge, for a very nice reason. So many people have read this book, and taught from it, and even loved it. The spirit of the book could never change. This text was written to help our teaching of linear algebra keep up with the enormous importance of this subject—which just continues to grow.

《代数(英文版)(第2版)》由著名代数学家与代数几何学家MichaelArtin所著，是作者在代数领域数十年的智慧和经验的结晶。书中既介绍了矩阵运算、群、向量空间、线性算子、对称等较为基本的内容，又介绍了环、模型、域、伽罗瓦理论等较为高深的内容。《代数(英文版)(第2版)》对于提高数学理解能力，增强对代数的兴趣是非常有益处的。此外，《代数(英文版)(第2版)》的可阅读性强，书中的习题也很有针对性，能让读者很快地掌握分析和思考的方法？作者结合这20年来的教学经历及读者的反馈，对本版进行了全面更新，更强调对称性、线性群、二次数域和格等具体主题。本版的具体更新情况如下：新增球面、乘积环和因式分解的计算方法等内容，并补充给出一些结论的证明，如交错群是简单的、柯西定理、分裂定理等。修订了对对应定理、SU2表示、正交关系等内容的讨论，并把线性变换和因子分解都拆分为两章来介绍。新增大量习题，并用星号标注出具有挑战性的习题。《代数(英文版)(第2版)》在麻省理工学院、普林斯顿大学、哥伦比亚大学等著名学府得到了广泛采用，是代数学的经典教材之一。

Introduction to Linear Algebra 5th 2016，是高清版本的，而且还有习题答案，以及官网的toc，方便大家使用

LINEAR ALGEBRA AND ITS APPLICATIONS FOURTH EDITION SOLUTIONS MANUAL David C. Lay