【顶级资源】掌握线性代数为机器学习打下坚实基础！

春节后的第一天，公众号特此为大家分享一份这样的顶级学习清单。希望大家在新的一年里，学业有成，事业更旺。同时也感谢大家对公众号一直以来的支持与厚爱！

维基百科

一些高层次的学习网页：

• 线性代数

https://en.wikipedia.org/wiki/Linear_algebra

• 矩阵（数学）

https://en.wikipedia.org/wiki/Matrix_(mathematics)

• 矩阵分解

https://en.wikipedia.org/wiki/Matrix_decomposition

• 线性代数主题列表

https://en.wikipedia.org/wiki/List_of_linear_algebra_topics

书籍教程

所有书籍，编辑部费劲千辛万苦给大家都下载好了。

在文末获取。

• Introduction to Linear Algebra, Fifth Edition, Gilbert Strang, 2016.

• Linear Algebra Done Right, Third Edition, 2015.

• No Bullshit Guide To Linear Algebra, Ivan Savov, 2017.

• Matrix Computations, Gene Golub and Charles Van Loan, 2012.

• Numerical Linear Algebra with Applications: Using MATLAB.

• Numerical Linear Algebra with Applications Using MATLAB.

• Applied Multivariate Statistical Analysis, Richard Johnson and Dean Wichern, 2012.

• Linear Algebraand Its Applications David C. Lay, 2016.

• ADVANCED LINEAR ALGEBRA NICHOLAS LOEHR, Virginia Polytechnic Institute and State University Blacksburg, USA, 2014.

• Elementary Linear Algebra, 8e, Ron Larson, 2017.

• 还有更多优秀的免费在线图书。 在维基百科上查看线性代数页面的末尾，可以看到更多的书籍列表。

https://en.wikipedia.org/wiki/Linear_algebra#Further_reading

大学课程

现在许多大学课程提供PDF版本的讲义幻灯片，笔记和阅读材料。 有些甚至提供预先录制的视频讲座，这是非常宝贵的。

美国顶尖学校推荐的一些课程包括：

• MIT的线性代数——Gilbert Strang

https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/index.htm

• The Matrix in Computer Science at Brown by Philip Klein

http://cs.brown.edu/courses/cs053/current/index.htm

• Computational Linear Algebra for Coders at University of San Francisco by Rachel Thomas.

https://github.com/fastai/numerical-linear-algebra/

在线课程

• Linear Algebra on Khan Academy

https://www.khanacademy.org/math/linear-algebra

• Linear Algebra: Foundations to Frontiers on edX

https://www.edx.org/course/laff-linear-algebra-foundations-to-frontiers

问答平台

考虑到当前有大量的问答平台，有很多地方可以在线提出有关线性代数的问题。

以下是推荐的最热门的平台，供大家参考学习：

• Linear Algebra tag on the Mathematics Stack Exchange

https://math.stackexchange.com/?tags=linear-algebra

• Linear Algebra tag on Cross Validated

https://stats.stackexchange.com/questions/tagged/linear-algebra

• Linear Algebra tag on Stack Overflow

https://stackoverflow.com/questions/tagged/linear-algebra

• Linear Algebra on Quora

https://www.quora.com/topic/Linear-Algebra

• Math Subreddit

https://www.reddit.com/r/math/

NumPy资源

在Python中实现线性代数时，您可能需要NumPy的帮助。

• NumPy Reference

https://docs.scipy.org/doc/numpy/reference/

• NumPy Array Creation Routines

https://docs.scipy.org/doc/numpy/reference/routines.array-creation.html

• NumPy Array Manipulation Routines

https://docs.scipy.org/doc/numpy/reference/routines.array-manipulation.html

• NumPy Linear Algebra

https://docs.scipy.org/doc/numpy/reference/routines.linalg.html

• SciPy Linear Algebra

https://docs.scipy.org/doc/scipy/reference/linalg.html