Linear Algebra

Core concepts in linear algebra with applications to Machine Learning.

Topics

Core concepts in linear algebra with applications to Machine Learning.

Reference: https://www.coursera.org/learn/machine-learning-linear-algebra

Notes

Systems of Equations
linear-algebra

The first topic you learn in linear algebra is systems of linear equations. However, before you delve into equations, it is important to understand the…

Mar 30, 2026
 
Solving Systems of Linear Equations: Elimination
linear-algebra

You are now ready to learn something that has been lurking yet present in the previous lessons. In one of the first quizzes, you took a system of…

Apr 2, 2026
 
Solving Systems of Linear Equations: Row Echelon Form and Rank
linear-algebra

Throughout the last few sections, there has been a concept that you’ve seen yet still have not been formally introduced to. It is the notion of the…

Apr 2, 2026
 
Gaussian Elimination Algorithm
linear-algebra

Now you’re ready to learn a very famous and classic algorithm called Gaussian elimination. You will see that this is just the elimination method you…

Apr 2, 2026

Vector Algebra
linear-algebra

So far you’ve been working with systems of equations and matrices, solving them by elimination, reducing them to row echelon form, and running Gaussian…

Apr 3, 2026

Linear Transformations
linear-algebra

In the previous notes you have seen matrices as arrays of numbers that represent systems of linear equations. But there is another very powerful and…

Apr 5, 2026

Lab: Linear Transformations and Neural Networks
linear-algebra

In the previous notes you learned that matrices represent linear transformations. In this lab, you will build transformation functions step by step,…

May 23, 2026

Determinants In-depth
linear-algebra

In the previous notes you learned what singular and non-singular matrices are, and you computed determinants as part of checking invertibility. Now you…

May 28, 2026

Eigenvalues and Eigenvectors
linear-algebra

Before we get to eigenvalues and eigenvectors, we need to build up a concept that sits at the heart of linear algebra: the basis. You have actually…

Jun 5, 2026

Lab: Interpreting Eigenvalues and Eigenvectors
linear-algebra

In the previous notes you learned what eigenvalues and eigenvectors are and how to compute them. In this lab you will practice finding them with Python…

Jun 5, 2026

Dimensionality Reduction and PCA
linear-algebra

The final major topic of this course is Principal Component Analysis (PCA). The goal of PCA is to reduce the number of dimensions (columns) in a…

Jun 6, 2026

Lab: Eigenvalues in Action (Webpage Navigation and PCA)
linear-algebra

In this lab you will apply eigenvalues and eigenvectors to two real-world problems: modeling how users navigate between webpages (Markov chains), and…

Jun 6, 2026
No matching items
Back to top