The 12 pages of linear algebra notes were on the GitHub hot list, and also received an inscription from the great Gilbert Strang.

Someone has already helped draw the key points of linear algebra.

There are only 12 pages in total, and half of them are illustrated, so novices don’t have to worry about not understanding it!

Now, this note has been starred 4k times on GitHub and has also been on the hot list.

Picture

This note is called "The Art of Linear Algebra" and is based on "Linear Algebra for Everyone" by Professor Gilbert Strang of MIT maded.

Picture

Japanese scholar Kenji Hiranabe condensed this 368-page masterpiece into illustrations, made this set of notes and made it open source for free, and was later used domestically Netizen kf liu translated it into Chinese.

The result not only received a good response on GitHub, but also received affirmation from the original author and was included in the interesting link on the introduction page of the original book.

Picture

Strang even wrote a preface to this note.

Picture

Let’s take a look at what this note that was praised by the author of the original book says!

Introduction

Before we officially enter the main body of this note, let’s first take a look at what the world of linear algebra looks like~

Pictures

It is not difficult to see from this picture that everything about linear algebra is inseparable from a basic concept-matrix.

So this note starts from understanding the matrix, and a total of 4 perspectives are shown in this link.

Picture

After having the concept of matrix, the author then introduced some operation methods from shallow to deep.

The author still explains in the form of diagrams and analyzes from different perspectives, including:

• Vector multiplied by vector
• Matrix multiplied by vector
• Matrix by matrix

Here we show the simplest vector multiplication of vector:

Picture

Basic The calculation method is often the most correct, but not necessarily the most efficient.

So this note goes on to show some practical tips.

Picture

This technique can also be used to solve differential equations.

In addition, this note also introduces five decomposition methods of matrices:

Picture

For each of the above decomposition methods, There are also specific explanations:

Picture

At the end of the note, the author also attached an eigenvalue mapping diagram of the matrix.

How about the picture

? Do you think it is easy to understand after reading it?

One More Thing

The author of the original book, Strang, is close to 90 years old and just retired from MIT last month.

From student to professor, he spent a total of 66 years at MIT.

Strang’s linear algebra course is very popular. In his last course before retirement, more than 6,000 people watched the live broadcast and more than 350,000 people watched the video.

When the news of Strang's retirement was announced, MIT directly used the title "He made linear algebra interesting" and gave him high praise.

Picture

If you are interested, learn it quickly!

Project address:
https://www.php.cn/link/530ad673015b98fcf4cdd5a68cb93d6c

Reference link:
https:// www.php.cn/link/1aab7baa714e14868fe9eac65fcbd315

The above is the detailed content of The 12 pages of linear algebra notes were on the GitHub hot list, and also received an inscription from the great Gilbert Strang.. For more information, please follow other related articles on the PHP Chinese website!