Merge branch 'master' of https://github.com/weijie-chen/Linear-Algebra-With-Python

Author: weijie-chen

README.md

@@ -42,28 +42,28 @@ I use poetry to management environment, if you happen to use VS code like me, pl
 ## What to Expect from Notes
 These notes will equip you with most needed and basic knowledge for other subjects, such as Data Science, Econometrics, Mathematical Statistics, Financial Engineering, Control Theory and etc., which heavily rely on linear algebra. Please go through the tutorial patiently, you will certainly have a better grasp of the fundamental concepts of linear algebera. Then further step is to study the special matrices and their application with your domain knowledge.  
 
-## Contents 
-It is advisable to either open the notebooks in Jupyter nbviewers (links below) or download them, since github has lots of rendering mistakes in LaTeX and sometimes even missing plots.
+## Contents
 
-[Lecture 1 - System of Linear Equations](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%201%20-%20Linear%20Equation%20System.ipynb)<br>
-[Lecture 2 - Basic Matrix Algebra](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%202%20-%20Basic%20Matrix%20Algebra.ipynb)<br>
-[Lecture 3 - Determinants](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%203%20-%20Determinant.ipynb)<br>
-[Lecture 4 - LU Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%204%20-%20LU%20Factorization.ipynb)<br>
-[Lecture 5 - Vector Operations](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>
-[Lecture 6 - Linear Combination](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%206%20-%20Linear%20Combination.ipynb)<br>
-[Lecture 7 - Linear Independence](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%207%20-%20Linear%20Independence.ipynb)<br>
-[Lecture 8 - Vector Space and Subspace](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%208%20-%20Vector%20Space%20and%20Subspace.ipynb)<br>
-[Lecture 9 - Basis and Dimension](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%209%20-%20Basis%20and%20Dimension.ipynb)<br>
-[Lecture 10 - Column, Row and Null Space](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?flush_cache=true)<br>
-[Lecture 11 - Linear Transformation](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2011%20-%20Linear%20Transformation.ipynb?flush_cache=true)<br>
-[Lecture 12 - Eigenvalues and Eigenvectors](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2012%20-%20Eigenvalues%20and%20Eigenvectors.ipynb)<br>
-[Lecture 13 - Diagonalization](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2013%20-%20Diagonalization.ipynb)<br>
-[Lecture 14 - Application to Dynamic System](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2014%20-%20Applications%20to%20Dynamic%20System.ipynb)<br>
-[Lecture 15 - Inner Product and Orthogonality](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2015%20-%20Innear%20Product%20and%20Orthogonality.ipynb)<br>
-[Lecture 16 - Gram-Schmidt Process and 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>
-[Lecture 17 - Symmetric Matrices and Quadratic Form](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>
-[Lecture 18 - Singular Value Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2018%20-%20The%20Singular%20Value%20Decomposition.ipynb)<br>
-[Lecture 19 - Multivariate Normal Distribution](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2019%20-%20Multivariate%20Normal%20Distribution.ipynb)<br>
+[Chapter 1 - Linear Equation System](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 1 - Linear Equation System.ipynb)<br>
+[Chapter 10 -Null Space vs Col Space, Row Space and Rank](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 10 -Null Space vs Col Space, Row Space and Rank.ipynb)<br>
+[Chapter 11 - Linear Transformation](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 11 - Linear Transformation.ipynb)<br>
+[Chapter 12 - Eigenvalues and Eigenvectors](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 12 - Eigenvalues and Eigenvectors.ipynb)<br>
+[Chapter 13a - Diagonalization](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 13a - Diagonalization.ipynb)<br>
+[Chapter 13b - Principal Component Analysis](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 13b - Principal Component Analysis.ipynb)<br>
+[Chapter 14 - Applications to Dynamic System](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 14 - Applications to Dynamic System.ipynb)<br>
+[Chapter 15 - Innear Product and Orthogonality](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 15 - Innear Product and Orthogonality.ipynb)<br>
+[Chapter 16 - Gram-Schmidt Process and QR Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 16 - Gram-Schmidt Process and QR Decomposition.ipynb)<br>
+[Chapter 17 - Symmetric Matrices , Quadratic Form and Cholesky Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 17 - Symmetric Matrices , Quadratic Form and Cholesky Decomposition.ipynb)<br>
+[Chapter 18 - The Singular Value Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 18 - The Singular Value Decomposition.ipynb)<br>
+[Chapter 19 - Multivariate Normal Distribution](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 19 - Multivariate Normal Distribution.ipynb)<br>
+[Chapter 2 - Basic Matrix Algebra](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 2 - Basic Matrix Algebra.ipynb)<br>
+[Chapter 3 - Determinant](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 3 - Determinant.ipynb)<br>
+[Chapter 4 - LU Factorization](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 4 - LU Factorization.ipynb)<br>
+[Chapter 5 - Vector Addition, Subtraction and Scalar Multiplication](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 5 - Vector Addition, Subtraction and Scalar Multiplication.ipynb)<br>
+[Chapter 6 - Linear Combination](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 6 - Linear Combination.ipynb)<br>
+[Chapter 7 - Linear Independence](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 7 - Linear Independence.ipynb)<br>
+[Chapter 8 - Vector Space and Subspace](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 8 - Vector Space and Subspace.ipynb)<br>
+[Chapter 9 - Basis and Dimension](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter 9 - Basis and Dimension.ipynb)<br>
 
 ## Screen Shots Examples
 ![截图01](https://user-images.githubusercontent.com/59842360/122352881-6b043e80-cf47-11eb-9ca4-8f52c93c0efa.jpg)