انتشار: Jan 2023
  1. میتالرن
  2. موضوعات
  3. Machine Learning
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آموزش جبر خطی برای یادگیری ماشین و علم داده

مدرس Luis Serrano
انتشار 2023/01/24
مدت زمان 4h 39m
سطح متوسط
فایل تمرینی ندارد
Week 1: System of linear equations-Specialization & Course Introduction
Specialization introduction ()
Course introduction ()
What to expect and how to succeed ()
Join the DeepLearning.AI Forum to ask questions, get support, or share amazing ideas!
A note on programming experience ()
Notations
Learning Python: Recommended Resources
Week 1: Systems of linear equations-Systems of Equations
Linear Algebra Applied I ()
Linear Algebra Applied II ()
Check your knowledge
System of sentences ()
System of equations ()
System of equations as lines and planes ()
Interactive Tool: Graphical Representation of Linear Systems with 2 variables
Interactive Tool: System of Equations as Planes (3x3)
A geometric notion of singularity ()
Singular vs non-singular matrices ()
Linear dependence and independence ()
The determinant ()
(Optional) Downloading your Notebook and Refreshing your Workspace
Week 1: Systems of linear equations-Week 1 Wrap Up
Conclusion ()
Week 1 - Slides
Week 2: Solving system of linear equations-Solving system of linear equations: Elimination
Check your knowledge
Solving non-singular system of linear equations ()
Solving singular system of linear equations ()
Solving system of equations with more variables ()
Interactive Tool: Graphical Representation of Linear Systems with 3 variables
Matrix row-reduction ()
Row operations that preserve singularity ()
Week 2: Solving system of linear equations-Solving system of linear equation: Row echelon form and rank
The rank of a matrix ()
The rank of a matrix in general ()
Row echelon form ()
Row echelon form in general ()
Reduced row echelon form ()
The Gaussian Elimination Algorithm ()
Week 2: Solving system of linear equations-Programming Assignment: System of Linear Equations
(Optional) Assignment Troubleshooting Tips
(Optional) Partial Grading for Assignments
Week 2: Solving system of linear equations-Lecture Notes
Conclusion ()
Week 2 - Slides
Week 3: Vectors and Linear Transformations-Vector algebra
Machine Learning Motivation ()
Check your knowledge
Vectors and their properties ()
Vector operations ()
The dot product ()
Geometric Dot Product ()
Multiplying a matrix by a vector ()
Week 3: Vectors and Linear Transformations-Linear transformations
Matrices as linear transformations ()
Linear transformations as matrices ()
Interactive Tool: Linear Transformations
Matrix multiplication ()
The identity matrix ()
Matrix inverse ()
Which matrices have an inverse? ()
Neural networks and matrices ()
Week 3: Vectors and Linear Transformations-Lecture Notes
Conclusion ()
Week 3 - Slides
Week 4: Determinants and Eigenvectors-Determinants In-depth
Week 4 Introduction ()
Check your knowledge
Singularity and rank of linear transformations ()
Determinant as an area ()
Determinant of a product ()
Determinants of inverses ()
Week 4: Determinants and Eigenvectors-Eigenvalues and Eigenvectors
Bases in Linear Algebra ()
Span in Linear Algebra ()
Interactive Tool: Linear Span
Eigenbases ()
Eigenvalues and Eigenvectors ()
Calculating Eigenvalues and Eigenvectors ()
On the Number of Eigenvectors ()
Dimensionality Reduction and Projection ()
Motivating PCA ()
Variance and Covariance ()
Covariance Matrix ()
PCA - Overview ()
PCA - Why It Works ()
PCA - Mathematical Formulation ()
Discrete Dynamical Systems ()
Week 4: Determinants and Eigenvectors-Lecture Notes
Conclusion ()
Week 4 - Slides
How is your course experience so far?
Week 4: Determinants and Eigenvectors-Course Resources
Reading: Textbooks and resources
References
Acknowledgments

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