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Heavy dry goods, the first time served
Linear algebra is the basis of machine learning, and it is heavy and difficult. The most general linear algebra tutorial yes boring. Today to give us an "Interactive Linear Algebra" course. Its biggest feature is the "interactive."
The linear algebra tutorial has an online version at:
http://textbooks.math.gatech.edu/ila/index.html
Tutorial Overview
Author of "Interactive Linear Algebra" There are two: Dan Margalit and Joseph Rabinoff, all from Georgia Tech School of Mathematics. Tutorials ended on June 3, 2019, may be a relatively new one.
"Interactive Linear Algebra" Chapter 6 contains a total content, covering the core knowledge of linear algebra. Inventory as follows:
Interactive experience
The biggest feature of course is the interactive experience. The main purpose is to enrich each reader's understanding of linear algebra topics. Throughout the tutorial contains more than 140 interactive presentations, these presentations are created to demonstrate the theme of geometry. You can click the "Show in New Window" link, along with interactive demo!
The following is a presentation of section 6.5:
As shown above in FIG dynamic, left panel can switch to a different perspective, to see three-dimensional graphics; right can change the position of the coordinate point, thereby changing the curved shape.
Offline PDF Tutorials
"Interactive Linear Algebra" in addition can be read online, the author also provides an offline PDF version, you can click on to view and download in the upper right corner of the home page.
PDF version although it is not the same as reading online to view dynamic display. But the corresponding online tutorial knowledge corresponding portion can also be an interactive experience. The corresponding position in the PDF are equipped with the appropriate button, click to jump to the page for interactive operations.
For example Section 3-1:
This operation is part of a simple matrix transformation, the object image on the left of the figure through the matrix into the right image. Next, click "Use this link to view the online demo", online manual debugging matrix.
Display of results:
查看上面的动态图可以发现，通过手动调整右上角的 xscale、yscale、rotate、xshear、yshear 等参数，可以随时调整变换后的图片。同事，左上角的变换矩阵也改变了。
离线 PDF 电子版下载地址：
http://textbooks.math.gatech.edu/ila/ila.pdf
源码
这份《交互式线性代数》在线网页，作者开源了所有代码，并发布在 GitHub 上。你可以修改程序中的源代码，实现更加个性化的体验。不过一般可能用不到。
GitHub 源码地址：
https://github.com/QBobWatson/gt-linalg
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