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‎README.md

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<font color='purple' size=2.5><i>Updated on Jan 2023</i></font>
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<font color='purple' size=2.5><i>Updated on Aug 2024</i></font>
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![Presentation1](https://user-images.githubusercontent.com/59842360/159695863-678be5bc-d146-4340-9592-003ad93241e1.jpg)
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# Lectures of Linear Algebra [![MIT License](https://img.shields.io/apm/l/atomic-design-ui.svg?)]()
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## Contents
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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.
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[Lecture 1 - System of Linear Equations](https://nbviewer.jupyter.org/github/MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%201%20-%20Linear%20Equation%20System.ipynb)<br>
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[Lecture 2 - Basic Matrix Algebra](https://nbviewer.jupyter.org/github/MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%202%20-%20Basic%20Matrix%20Algebra.ipynb)<br>
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[Lecture 3 - Determinants](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/LinearAlgebraLectures/blob/master/Chapter%203%20-%20Determinant.ipynb)<br>
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[Lecture 4 - LU Decomposition](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/LinearAlgebraLectures/blob/master/Chapter%204%20-%20LU%20Factorization.ipynb)<br>
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[Lecture 5 - Vector Operations](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%205%20-%20Vector%20Addition%2C%20Subtraction%20and%20Scalar%20Multiplication.ipynb)<br>
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[Lecture 6 - Linear Combination](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%206%20-%20Linear%20Combination.ipynb)<br>
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[Lecture 7 - Linear Independence](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%207%20-%20Linear%20Independence.ipynb)<br>
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[Lecture 8 - Vector Space and Subspace](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%208%20-%20Vector%20Space%20and%20Subspace.ipynb)<br>
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[Lecture 9 - Basis and Dimension](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%209%20-%20Basis%20and%20Dimension.ipynb)<br>
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[Lecture 10 - Column, Row and Null Space](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2010%20-Null%20Space%20vs%20Col%20Space%2C%20Row%20Space%20and%20Rank.ipynb?flush_cache=true)<br>
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[Lecture 11 - Linear Transformation](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2011%20-%20Linear%20Transformation.ipynb?flush_cache=true)<br>
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[Lecture 12 - Eigenvalues and Eigenvectors](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2012%20-%20Eigenvalues%20and%20Eigenvectors.ipynb)<br>
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[Lecture 13 - Diagonalization](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2013%20-%20Diagonalization.ipynb)<br>
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[Lecture 14 - Application to Dynamic System](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2014%20-%20Applications%20to%20Dynamic%20System.ipynb)<br>
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[Lecture 15 - Inner Product and Orthogonality](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2015%20-%20Innear%20Product%20and%20Orthogonality.ipynb)<br>
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[Lecture 16 - Gram-Schmidt Process and Decomposition](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2016%20-%20Gram-Schmidt%20Process%20and%20QR%20Decomposition.ipynb)<br>
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[Lecture 17 - Symmetric Matrices and Quadratic Form](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2017%20-%20Symmetric%20Matrices%20%2C%20Quadratic%20Form%20and%20Cholesky%20Decomposition.ipynb)<br>
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[Lecture 18 - Singular Value Decomposition](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2018%20-%20The%20Singular%20Value%20Decomposition.ipynb)<br>
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[Lecture 19 - Multivariate Normal Distribution](https://nbviewer.jupyter.org/github/WeijieChen-MacroAnalyst/Linear_Algebra_With_Python/blob/master/Chapter%2019%20-%20Multivariate%20Normal%20Distribution.ipynb)<br>
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[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>
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[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>
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[Lecture 3 - Determinants](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%203%20-%20Determinant.ipynb)<br>
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[Lecture 4 - LU Decomposition](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%204%20-%20LU%20Factorization.ipynb)<br>
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[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>
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[Lecture 6 - Linear Combination](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%206%20-%20Linear%20Combination.ipynb)<br>
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[Lecture 7 - Linear Independence](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%207%20-%20Linear%20Independence.ipynb)<br>
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[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>
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[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>
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[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>
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[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>
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[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>
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[Lecture 13 - Diagonalization](https://nbviewer.org/github/weijie-chen/Linear-Algebra-With-Python/blob/master/notebooks/Chapter%2013%20-%20Diagonalization.ipynb)<br>
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[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>
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[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>
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[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>
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[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>
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[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>
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[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>
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## Screen Shots Examples
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![截图01](https://user-images.githubusercontent.com/59842360/122352881-6b043e80-cf47-11eb-9ca4-8f52c93c0efa.jpg)

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