Mathematics for Machine Learning: Linear Algebra
Coursera
In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works. Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if you’ve not coded before. At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning.
More resources on Systems of Linear Equations
Paul's Online Math Notes - Linear Algebra
Detailed notes on solving systems of linear equations.
Khan Academy Linear Algebra
Free interactive lessons on systems of equations.
Chapter 1: Vectors, part 1
3Blue1Brown Essence of Linear Algebra intro to systems context.
Lecture 1: The Geometry of Linear Equations
Gilbert Strang's first lecture on systems of equations.
Linear Algebra - Foundations to Frontiers
Learn the mathematics behind linear algebra and link it to matrix software development.
Linear Algebra (18.06)
Learn linear algebra essentials, including systems of equations, with MIT's 18.06 course by Gilbert Strang.
