Skip to content

Commit 7158104

Browse files
weijie-chenweijie-chen
committed
resume .md
1 parent 75c5e4c commit 7158104

File tree

1 file changed

+133
-0
lines changed

1 file changed

+133
-0
lines changed

‎README.md

Lines changed: 133 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,133 @@
1+
---
2+
toc-title: Table of contents
3+
---
4+
5+
`<font color='purple' size=2.5><i>`{=html}Updated on Aug
6+
2024`</i></font>`{=html}
7+
![Presentation1](https://user-images.githubusercontent.com/59842360/159695863-678be5bc-d146-4340-9592-003ad93241e1.jpg)
8+
\# Lectures of Linear Algebra
9+
10+
These lecture notes are intended for introductory linear algebra
11+
courses, suitable for university students, programmers, data analysts,
12+
algorithmic traders and etc.
13+
14+
The lectures notes are loosely based on several textbooks:
15+
16+
1. `<b><i>`{=html}Linear Algebra and Its Applications`</i></b>`{=html}
17+
by Gilbert Strang
18+
2. `<b><i>`{=html}Linear Algebra and Its Applications`</i></b>`{=html}
19+
by David Lay
20+
3. `<b><i>`{=html}Introduction to Linear Algebra With
21+
Applications`</i></b>`{=html} by DeFranza & Gagliardi
22+
4. `<b><i>`{=html}Linear Algebra With Applications`</i></b>`{=html} by
23+
Gareth Williams
24+
25+
![cover-min](https://user-images.githubusercontent.com/59842360/83939172-64df6c00-a7e3-11ea-80b1-058af696d5a3.png)
26+
27+
However, the crux of the course is not about proving theorems, but to
28+
demonstrate the practices and visualization of the concepts. Thus we
29+
will not engage in precise deduction or notation, rather we aim to
30+
clarify the elusive concepts and thanks to Python/MATLAB, the task is
31+
much easier now.
32+
33+
## Prerequisites
34+
35+
Though the lectures are for beginners, it is beneficial that attendants
36+
had certain amount of exposure to linear algebra and calculus.
37+
38+
And also the attendee are expected to have basic knowledge (3 days
39+
training would be enough) of - \[x\] Python - \[x\] NumPy - \[x\]
40+
Matplotlib - \[x\] SymPy
41+
42+
All the codes are written in an `<b>`{=html}intuitive
43+
manner`</b>`{=html} rather than efficient or professional coding style,
44+
therefore the codes are exceedingly straightforward, I presume barely
45+
anyone would have difficulty in understanding the codes.
46+
47+
The notes were written in JupyterLab, the interative plot requires
48+
`ipympl`. To install, type in `conda install -c conda-forge ipympl` if
49+
you have JupyterLab 3.x. Check
50+
`<a href='https://github.com/matplotlib/ipympl'><code>`{=html}ipympl`</code>`{=html}page`</a>`{=html}
51+
for more details.
52+
53+
## Environment Setup
54+
55+
I use poetry to management environment, if you happen to use VS code
56+
like me, please follow the steps below: 1. In Windows powershell and
57+
install poetry
58+
`(Invoke-WebRequest -Uri https://install.python-poetry.org -UseBasicParsing).Content | python -p`
59+
2. Navigate to `cd $env:APPDATA\Python\Scripts`, check if poetry being
60+
installed. 3. Open a notepad `notepad $profile` and set alias for poetry
61+
`Set-Alias poetry "C:\Users\user\AppData\Roaming\Python\Scripts\poetry.exe"`
62+
in notepad, I prefered this way, because sometimes setting env path not
63+
working in windows. 4. Reload profile by `. $profile`. 5. If you are on
64+
your personal computer
65+
`Set-ExecutionPolicy RemoteSigned -Scope CurrentUser` to unstrict your
66+
execution policy and choose Y. 6. Resume the default restricted policy
67+
for security `Set-ExecutionPolicy Restricted -Scope CurrentUser`. 7. Now
68+
check `poetry --version`, if you see the version printed, good to go. 8.
69+
You choose to use `poetry update`, or just manage version at your own
70+
convenience.
71+
72+
## What to Expect from Notes
73+
74+
These notes will equip you with most needed and basic knowledge for
75+
other subjects, such as Data Science, Econometrics, Mathematical
76+
Statistics, Financial Engineering, Control Theory and etc., which
77+
heavily rely on linear algebra. Please go through the tutorial
78+
patiently, you will certainly have a better grasp of the fundamental
79+
concepts of linear algebera. Then further step is to study the special
80+
matrices and their application with your domain knowledge.
81+
82+
## Contents
83+
84+
[Chapter 1 - Linear Equation
85+
System](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%201%20-%20Linear%20Equation%20System.ipynb)`<br>`{=html}
86+
[Chapter 2 - Basic Matrix
87+
Algebra](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%202%20-%20Basic%20Matrix%20Algebra.ipynb)`<br>`{=html}
88+
[Chapter 3 -
89+
Determinant](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%203%20-%20Determinant.ipynb)`<br>`{=html}
90+
[Chapter 4 - LU
91+
Factorization](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%204%20-%20LU%20Factorization.ipynb)`<br>`{=html}
92+
[Chapter 5 - Vector Addition, Subtraction and Scalar
93+
Multiplication](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%205%20-%20Vector%20Addition%2C%20Subtraction%20and%20Scalar%20Multiplication.ipynb)`<br>`{=html}
94+
[Chapter 6 - Linear
95+
Combination](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%206%20-%20Linear%20Combination.ipynb)`<br>`{=html}
96+
[Chapter 7 - Linear
97+
Independence](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%207%20-%20Linear%20Independence.ipynb)`<br>`{=html}
98+
[Chapter 8 - Vector Space and
99+
Subspace](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%208%20-%20Vector%20Space%20and%20Subspace.ipynb)`<br>`{=html}
100+
[Chapter 9 - Basis and
101+
Dimension](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%209%20-%20Basis%20and%20Dimension.ipynb)`<br>`{=html}
102+
[Chapter 10 -Null Space vs Col Space, Row Space and
103+
Rank](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2010%20-Null%20Space%20vs%20Col%20Space%2C%20Row%20Space%20and%20Rank.ipynb)`<br>`{=html}
104+
[Chapter 11 - Linear
105+
Transformation](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2011%20-%20Linear%20Transformation.ipynb)`<br>`{=html}
106+
[Chapter 12 - Eigenvalues and
107+
Eigenvectors](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2012%20-%20Eigenvalues%20and%20Eigenvectors.ipynb)`<br>`{=html}
108+
[Chapter 13b - Principal Component
109+
Analysis](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2013b%20-%20Principal%20Component%20Analysis.ipynb)`<br>`{=html}
110+
[Chapter 13a -
111+
Diagonalization](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2013a%20-%20Diagonalization.ipynb)`<br>`{=html}
112+
[Chapter 14 - Applications to Dynamic
113+
System](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2014%20-%20Applications%20to%20Dynamic%20System.ipynb)`<br>`{=html}
114+
[Chapter 15 - Innear Product and
115+
Orthogonality](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2015%20-%20Innear%20Product%20and%20Orthogonality.ipynb)`<br>`{=html}
116+
[Chapter 16 - Gram-Schmidt Process and QR
117+
Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2016%20-%20Gram-Schmidt%20Process%20and%20QR%20Decomposition.ipynb)`<br>`{=html}
118+
[Chapter 17 - Symmetric Matrices , Quadratic Form and Cholesky
119+
Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2017%20-%20Symmetric%20Matrices%20%2C%20Quadratic%20Form%20and%20Cholesky%20Decomposition.ipynb)`<br>`{=html}
120+
[Chapter 18 - The Singular Value
121+
Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2018%20-%20The%20Singular%20Value%20Decomposition.ipynb)`<br>`{=html}
122+
[Chapter 19 - Multivariate Normal
123+
Distribution](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2019%20-%20Multivariate%20Normal%20Distribution.ipynb)`<br>`{=html}
124+
125+
## Screen Shots Examples
126+
127+
![截图01](https://user-images.githubusercontent.com/59842360/122352881-6b043e80-cf47-11eb-9ca4-8f52c93c0efa.jpg)
128+
![截图03](https://user-images.githubusercontent.com/59842360/122352926-78212d80-cf47-11eb-9bb4-c33e03b7f085.jpg)
129+
![截图00](https://user-images.githubusercontent.com/59842360/122352940-7b1c1e00-cf47-11eb-9f80-e26454d4baaf.jpg)
130+
![截图00](https://user-images.githubusercontent.com/59842360/126001287-9f8de290-3940-4000-b5db-7b12d8b70005.jpg)
131+
![截图01](https://user-images.githubusercontent.com/59842360/126001290-d342db9f-76eb-41ce-98b2-208075bd4640.jpg)
132+
![截图02](https://user-images.githubusercontent.com/59842360/126001291-5cee0e1b-d02b-4912-9d27-65eaaff13178.jpg)
133+
![截图03](https://user-images.githubusercontent.com/59842360/126001463-0b262316-0032-482e-bb0f-1ccbbd3a2835.jpg)

0 commit comments

Comments
 (0)