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Linear Algebra for Data Science & Machine Learning A-Z 2026 (Udemy.com)

Linear Algebra for Data Science, Big Data, Machine Learning, Engineering & Computer Science. Master Linear Algebra

Created by: Kashif A.

Last updated September 2026

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What you will learn

  • Fundamentals of Linear Algebra and how to ace your Linear Algebra exam
  • Basics of matrices (notation, dimensions, types, addressing the entries etc.)
  • Operations on a single matrix, e.g. scalar multiplication, transpose, determinant & adjoint
  • Operations on two matrices, including addition, subtraction and multiplication of matrices
  • Performing elementary row operations and finding Echelon Forms (REF & RREF)
  • Inverses, including invertible and singular matrices, and the Cofactor method
  • Solving systems of linear equations using matrices and inverse matrices, including Cramer’s rule to solve AX = B
  • Properties of determinants, and how to perform Gauss-Jordan elimination
  • Matrices as vectors, including vector addition and subtraction, Head-to-Tail rule, components, magnitude and midpoint of a vector
  • Vector spaces, including dimensions, Euclidean spaces, closure properties and axioms

How it compares

Against the other 127 rated Udemy courses in Math on CourseDuck:

  • Rating4.7 out of 5higher than 51% of them
  • Reviews836#30 of 128 by number of reviews
  • Length18 hourslonger than 71% of them
  • Last updatedSeptember 2026more recently than 96% of them

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Course Description

DO YOU WANT TO LEARN LINEAR ALGEBRA IN AN EASY WAY?

Great!

With 22+ hours of content and 200+ video lessons, this course covers everything in Linear Algebra, from start till the end!

Every concept is explained in simple language, and Quizzes and Assignments (with solutions!) help you test your concepts as you proceed.

Whether you're a student, or a professional or a Math enthusiast, this course walks you through the core concepts of Linear Algebra in an easy and fun way!



HERE IS WHAT YOU WILL LEARN:

· Fundamentals of Linear Algebra and how to ace your Linear Algebra exam

· Basics of matrices, including notation, dimensions, types, addressing the entries etc.

· Operations on a single matrix, e.g. scalar multiplication, transpose, determinant, adjoint etc.

· Operations on two matrices, including addition, subtraction and multiplication

· Performing elementary row operations and finding Echelon Forms (REF & RREF)

· Inverses, including invertible and singular matrices, and the Cofactor method

· Solving systems of equations using matrices & inverse matrices, including Cramer’s rule to solve AX = B

· Performing Gauss-Jordan elimination

· Properties of determinants and how to utilize them to gain insights

· Matrices as vectors, including vector addition and subtraction, Head-to-Tail rule, components, magnitude and midpoint of a vector

· Linear combinations of vectors and span

· Vector spaces, including dimensions, Euclidean spaces, closure properties and axioms

· Subspace and Null-space of a matrix, matrix-vector products

· Spanning set for a vector space and linear dependence

· Basis and standard basis, and checking if a set of given vectors forms the basis for a vector space

· Eigenvalues and Eigenvectors, including how to find Eigenvalues and the corresponding Eigenvectors

· Basic algebra concepts (as a BONUS)

· And so much more…..



HERE IS WHAT YOU GET IN THE COURSE:

Video Lessons:
Watch over my shoulder as I explain all the Linear Algebra concepts in a simple and easy to understand language. Everything is taught from scratch, and no prior knowledge is assumed.

Solved Examples: Every topic is explained with the help of solved examples, from start to end. This problem-based approach is great, especially for beginners who want to practice their Math concepts while learning.

Quizzes: When you think you have understood a concept well, test it by taking the relevant quiz. If you pass, awesome! Otherwise review the suggested lessons and retake the quiz, or ask for help in the Q/A section.

Assignments: Multiple assignments offer you a chance for additional practice by solving sets of relevant and insightful problems (with solutions provided)

By the end of this course, you'll feel confident and comfortable with all the Linear Algebra topics discussed in this course!



WHY SHOULD YOU LEARN LINEAR ALGEBRA?

· Linear Algebra is a prerequisite for many lucrative careers, including Data Science, Artificial Intelligence, Machine Learning, Financial Math, Data Engineering etc.

· Being proficient in Linear Algebra will open doors for you to many high-in-demand careers


WHY LEARN LINEAR ALGEBRA FROM ME?

I took this Linear Algebra class at University of Illinois at Urbana Champaign, one of the Top-5 Engineering Schools in the country, and I have tried to follow the same standards while designing this course.

I have taught various Math and Engineering courses for more than 10 years at schools across US, Asia and Africa. I strongly believe that I have the ability to breakdown complex concepts into easily understandable chunks of information for you!

I provide premium support for all my students - so if you ever get stuck or have a question, just post it to the course dashboard and I'll be there to help you out in a prompt and friendly way!

My goal is to make this the best Linear Algebra and Math course online, and I'll do anything possible to help you learn.




HERE IS WHAT STUDENTS SAY ABOUT THIS COURSE:

“
I thoroughly enjoyed this course. I needed to get a better understanding and a good base of Linear Algebra for Data Science and Machine Learning and Kashif absolutely delivered. This is definitely a Zero to Hero course on Linear Algebra in my opinion, and would highly recommend this to anyone who is on the same path as I am. Nothing but appreciation for this author.” – I. Valderrama

“Wish I had found this earlier” - Dan

“Great explanations. Solid teaching” - J. P. Baugh

“Excellent course! The course material is really good, explanation is really clear and every new concept is provided with examples that make the experience even better! The instructor always takes the time to answer questions poster in Q&A. New material is constantly added to course. Thank you!” – K. Geagea



YOU'LL ALSO GET:

· Lifetime access to “Complete Linear Algebra for Data Science & Machine Learning”

· Friendly support in the Q&A section

· Udemy Certificate of Completion available for download

· 30-day, no-questions-asked, money back guarantee



ENROLL TODAY!

Feel free to check out the course outline below or watch the free preview lessons. Or go ahead and enroll now.

I can’t wait for you to get started with Linear Algebra.

Cheers,
Kashif


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Instructor Details

Kashif A.

Kashif holds a Masters in Engineering from a top university in the US. He loves to teach, and has 11 years of university level teaching experience.

Apart from traditional academics, he is passionate about Online Education and Digital Entrepreneurship. He is interested in Photo and Video Editing, and Motion Graphics.

In his free time, Kashif likes travelling, enjoys cooking and reading books.

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Reviews

4.7

836 ratings on Udemy

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By Konstantinos Tafillis on 10/17/2023

I would Appreciate more excercises and some more topics related to Linear Algebra such LU decomposition, SVD, etc related to DS and ML. However the topics here are explained in a good manner and the tutor has made a significant effort to present the topics in a way that are easily comprehensible both for new learners and people who want a good refresher course.

By Amy Bourque on 10/23/2021

I use this class to supplement the very quick linear algebra section in a data science bootcamp. It was the perfect accompaniment to help me understand linear algebra in order to visualize and comprehend how it applies to data science.

By Joe Todd on 10/9/2021

Enjoyed this course, it is taught at a slow pace with lots of examples to really solidify your understanding. Also goes through some basic concepts that I had forgotten. I think it is lacking some practical examples for why all these concepts are important in real life situations. Also I don't think you should have to watch all the bonus material to complete the course and get your certificate, as it is not really related to aim of the course.

By Samuel G. A on 12/28/2020

It is well-addressed, and it helps me to revisit linear algebra in detail in a short period. If the course used some real examples of Data Science and Machine learning example, it would make it the go-to course of Math for Data Science and Machine learning, all in all. It is awesome.

By Michael Vatt on 6/4/2020

It was a solid course. Not exactly what I was expecting, especially for the machine learning part (almost nothing about ML). This was purely about linear algebra which is "used" in DS and ML. Not really about anything DS or ML. But it was still good and very knowledgeable. Felt like he repeated a LOT of things though so it was longer than it could have been. But that may be good for practice, especially for people who are complete novices with linear algebra.

By Ayala Allon on 1/31/2020

I had a great time learning this course. Kashif's explanations and examples are very clear. I definitely developed intuition for concepts I didn't know much about before. I recommend this course and Kashif as an instructor. I asked many questions in the forum and He always gave answers that were clear and helped me understand the material. One I thing I would add to improve the learning process is a detail solution for the assignments rather than just providing the final answer. Thanks again!

By Ramesh Majji on 5/15/2019

This course is really good for the beginners. For few topics, you have explained the problems with variable (like x,y,a,b…) that is good but after that if you could give example with real numbers then it would be more useful to the students to understand the topics in better way. Also, if you could explain why we are doing and what we are going to achieve with the topic then all the topics would be more structured and you will get 5 stars from all students believe me.

By Kamil Geagea on 4/15/2019

Excellent course! The course material is really good, the explanation is really clear and every new concept is provided with examples that make the experience even better! The instructor always takes the time to answer questions poster in the Q&A. New material is constantly added to the course. Thank you!

By Benjamin Black on 2/24/2019

So far instructor does a thorough job of explaining how each step works. I have had no problems following the course. The one criticism (and he may be getting to this) is why some of these operations are performed, like why transpose a matrix, etc. He might have explained but this is something that would be nice- to hear an explanation of why we are learning these operations and not just how.

By Ivan Valderrama on 2/14/2019

I thoroughly enjoyed this course. I needed to get a better understanding and a good base of Linear Algebra for Data Science and Machine Learning and Kashif absolutely delivered. This is definitely a Zero to Hero course on Linear Algebra in my opinion, and would highly recommend this to anyone who is on the same path as I am. Nothing but appreciation for this author.

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Overall Score : 94 / 100