10 Best Linear Algebra Courses Online

Dive into the world of Mathematics with the help of our list of Top Online Linear Algebra Courses. You will gain the knowledge required to unlock complex concepts and applications.

Key Takeaways

Access to the list of Best Online Courses for Linear Algebra
A chance to master key concepts and applications.
Propel your math and science skills forward.

What are the best linear algebra courses online?

This list of Best Online Linear Algebra Courses gives learners access to an in-depth understanding of fundamental and advanced concepts. You will be equipped with the mathematical skills required for science and engineering challenges.

#	Course Name	University/Organization	Ratings	Duration
1.	Linear Algebra – Foundations to Frontiers	University of Texas	★★★★★ 5.0	150 Hours
2.	Complete linear algebra: theory and implementation	Udemy	★★★★★ 4.8	34 Hours
3.	Advanced Linear Algebra: Foundations to Frontiers	University of Texas	—	192 Hours
4.	First Steps in Linear Algebra for Machine Learning	National Research University	★★★★☆ 4.1	14 Hours
5.	Mathematics for Machine Learning: Linear Algebra	Imperial College London	★★★★★ 4.7	18 Hours
6.	The Math of Data Science: Linear Algebra	Rice University	—	64 Hours
7.	Differential Equations: Linear Algebra and NxN Systems of Differential Equations	MIT	—	72 Hours
8.	Applications of Linear Algebra Part 1	Davidson Next	—	10 Hours
9.	Become a Linear Algebra Master	Udemy	★★★★☆ 4.8	15 Hours
10.	Learn Algebra The Easy Way	Udemy	★★★★★ 4.7	21 Hours

Complete Linear Algebra for Data Science & Machine Learning

- - Kashif A. via Udemy
  - 2,476+ already enrolled!
  - ★★★★★ (381 Reviews)

Linear Algebra Courses Evaluation & Selection Criteria

The selection of our list of Best Linear Algebra Courses is the end result of a thorough evaluation done by our mathematics experts. Our focus is on choosing courses based on several factors. These include instructor credentials, depth and clarity of the course material, practical applicability of mathematical concepts, and positive learner feedback. This approach makes sure that our recommendations are authoritative and beneficial. Also, they equip learners with the foundational knowledge and problem-solving skills required for mastering linear algebra.

List of 10 best Linear Algebra courses online:

Linear Algebra – Foundations to Frontiers

- - University of Texas at Austin via edX
  - 150 hours of effort required
  - 92,866+ already enrolled!
  - Skill Level: Intermediate

Learn the Math that is behind linear algebra and then link it to the matrix software development with the help of this online linear algebra course. The Online Linear algebra course has a variety of concepts to teach you which include connections between linear transformations, matrices, and systems of linear equations. Similarly, you will learn what partitioned matrices are and their characteristics. Moreover, you will understand the algorithms for matrix computations and solving systems of equations. Other topics like vector spaces, subspaces, and more will be discussed as well.

Understanding the value of algebra goes beyond the classroom, impacting everyday decision-making and problem-solving processes.

Then going further, you will get to understand what orthogonality in linear algebra is. After that, there will be a detailed discussion on linear least-squares. In addition, the online linear algebra course instructor will talk about eigenvalues and eigenvectors in detail. This upon completing this online linear algebra course you would have gained a good understanding of the foundations of linear algebra. Dive into the world of digital mathematics without any cost by checking out our Top Online Geogebra Classes for Free.

Complete Linear Algebra: Theory and Implementation

- - Mike X Cohen via Udemy
  - 19,442+ already enrolled!
  - ★★★★★ (2,983 Reviews)

Online Course Effectiveness Score
Content	Engagement	Practice	Career Benefit
Good ★★★★☆	Good ★★★★☆	Fair ★★★☆☆	Fair ★★★☆☆

In this Online Linear Algebra Course, you will learn the concepts of linear algebra and matrix analysis and then how to implement them in MATLAB and Python. You will understand all the theoretical concepts in linear algebra including proofs. Next, you will learn to apply linear algebra concepts to real datasets. Similarly, you will be taught ways to help you ace your Online linear algebra exam. It is because of this course, you will gain additional insights into solving all the problems in linear algebra. Learn what makes Khan Academy’s approach to linear algebra unique.“

Furthermore, the Online Linear Algebra Course instructor is also going to explain all the basic components of electronics. Now, these include different diodes, transistors, and op-amps. After that, you will get a chance to understand all about the basic operation and some common applications as well.

This course is extremely useful. Mike clarifies the points so pleasantly that it is very easy to absorb them. Likewise, I thought that it was excellent that this course has theory just as MATLAB and Python code execution has of everything that is getting taught to us. The Code challenges are very insightful (Nishant Jakhiya, ★★★★★).

At this time of machine learning and computer science, it almost gets really difficult to visualize the development of the new smart application without an understanding of mathematics. So, I thought why not refresh my knowledge of algebra and develop my skills in machine learning. This course has many useful learning and methods that are required in computing and data science. I am thankful to all for providing such an excellent course (Denys Zaiats, ★★★★★).

Mike’s style of teaching is so so so good. I recommend this course to anyone inquisitive about digging into algebra (Kostas EK, ★★★★★).

Advanced Linear Algebra: Foundations to Frontiers

- - University of Texas at Austin via edX
  - 150 hours of effort required
  - Skill Level: Advanced

Want to learn advanced linear algebra for computing? Take this course now and learn everything there is to know about advanced linear algebra. You will learn to decipher a matrix using the singular value decomposition. With that, you will also learn to quantify and qualify a numerical error. Similarly, you will also learn to solve linear systems and linear least-squares problems. Moreover, how to compute and employ eigenvalue and eigenvectors will also be learned.

Thus know that this Online Linear Algebra Course will help you build knowledge, understanding, and skills in linear algebra from the comfort of your home. Next, the instructor will explain in detail the practical algorithms for matrix computations. Then, you will be taught how to analyze the effects of floating-point arithmetic as performed by computers and much more.

First Steps in Linear Algebra for Machine Learning [No more Available]

- - National Research University Higher School of Economics via Coursera
  - 14 hours of effort required
  - 21,025+ already enrolled!
  - ★★★★☆ (99 Reviews)

Online Course Effectiveness Score
Content	Engagement	Practice	Career Benefit
Good ★★★★☆	Fair ★★★☆☆	Fair ★★★☆☆	Fair ★★★☆☆

A very suitable course for all those learners who are interested in learning matrix analysis or linear algebra. The aim of this course is to help you understand the main concepts of linear algebra that are used in data analysis and machine learning. Another goal here is to also improve a learner’s practical skills of using linear algebra methods in ML. You will be learning the fundamentals of working with data in vector and matrix form and much more.

Next, you will acquire skills for solving different systems of linear algebraic equations. You will be given all the necessary guidelines to find the basic matrix decompositions. After that, the instructor will help you gain a general understanding of all their applicability. Note that, this course is not suitable for an absolute beginner. Instead, you need to have a good understanding of linear algebra to learn from this course.

It is a decent course. It blends theory and practice with Python in a correct way. I could earn a lot through this course. It has the perfect measure of coursework. It is consistently a joy to learn through the courses from Coursera. As a long-lasting student, I need to be forever occupied with online courses from Coursera, EdX, and YouTube. It is the eventual fate of Education (Olivio A C J, ★★★★★).

It is an honest course. It mixes ideas and practices with Python, and it is all done in the right way. I learned a lot through this course. This course also has the correct amount of coursework. It’s always a delight to learn through the courses from Coursera. As a lifelong student, I would like to be permanently joined in online courses, from Coursera, EdX, or YouTube. It’s the longer term of Education. (Olivio A C J, ★★★★★).

This is a good course. But for me, sometimes, at places, the explanation could get a little better. Generally, it is an awesome course. Moreover, they teach us good applications of algebra within the field of machine learning. I’d wish to rate this course with 4.5, but Coursera doesn’t permit us to rate it in that way (Carlos M V R, ★★★★★)

Mathematics for Machine Learning: Linear Algebra

- - Imperial College of London via Coursera
  - 19 hours of effort required
  - 237,148+ already enrolled!
  - ★★★★★ (9,563 Reviews)
  - This course is part of Mathematics for Machine Learning Specialization

Online Course Effectiveness Score
Content	Engagement	Practice	Career Benefit
Fair ★★★☆☆	Fair ★★★☆☆	Fair ★★★☆☆	Fair ★★★☆☆

The Mathematics for Machine Learning is a course where you will be looking thoroughly at what linear algebra is. You will understand how it works and is related to vectors and matrices. After that, the instructor will help you look through what vectors and matrices are and how you can work with them. Similarly, you will be understanding even the minute details of eigenvalues and eigenvectors and how they can be used to solve a particular problem. The skills you will be gaining from the Online Linear Algebra course are regarding eigenvalues, eigenvectors, the basis of linear algebra, and transformation matrix.

The course starts with a detailed introduction to linear algebra to mathematics. Then you will learn about such vectors that move around space. Similarly, you will also get to learn matrices in linear algebra and more in detail.

Stunning course, incredible teachers. The amount of linear algebra knowledge you get from this single course is generous. It has effectively helped my learning in other ML and AI courses (Chad S, ★★★★★).

I feel like this coursed is a great way to be told about applied algebra. This course could be fairly easy if you have any background in algebra. Furthermore, the course looks at concepts through the range of geometric applications, which is fresh (Patrick L, ★★★★★)

This course wastes an insane amount of your time on easy topics but glosses over the difficult conceptual topics in about 3-4 seconds. The quizzes are either trivially easy or way too difficult to try. The quizzes do not match the content that has been covered in the course. It also has no connection for ML in the topics covered (Darren T, ★★☆☆☆).

The Math of Data Science: Linear Algebra [No more Available]

- - Rice University via edX
  - 64 hours of effort required
  - Skill Level: Intermediate
  - This course is part of Elements of Data Science MicroBachelor Program

This course is a complete introduction to linear algebra and we guarantee once you complete this course, you won’t have any ambiguity left relevant to linear algebra. You will be discovering the basic objects of linear algebra and how to compute them. Similarly, how they fit together theoretically and can be used to solve real problems will be learned as well. You will be understanding the relationships between linear equations, matrices, and linear transformations, etc. Topics like principles of vector and matrix operations, the significance of basis, and the dimension of a vector space, and others will be discussed in the Online Linear Algebra Course.

Similarly, the instructor will introduce learners to matrix and vector operations. This includes matrix multiplication and inverses. Furthermore, the instructor will also dive deep into their underlying purpose. Thus students will also learn to calculate them and also understand why they work the way they do.

Differential Equations: Linear Algebra and NxN Systems of Differential Equations

- - MIT via edX
  - 16,779+ already enrolled!
  - 96 hours of effort required
  - Skill Level: Intermediate
  - This course is part of 18.03x Differential Equations XSeries Program.

Are you having problems in understanding to use linear algebra and MATLAB to solve large systems of differential equations? If yes, then you have landed on the right course because this course is going to help you understand all about linear algebra very thoroughly. You will learn to find the dimension and a basis for a finite-dimensional vector space. Next, you will be taught how you can formulate and solve eigenvalue and eigenvector problems. Similarly, you will learn to use MATLAB to explore solutions to large systems of equations.

After that, you will get to examine additional amplifier applications in a step-by-step guide. Going further, you will also learn to examine filter transfer functions. In addition, the instructor will help you develop a good understanding of the PN junction diode and its behavior. Similarly, you will also be taught how to analyze diode circuits and much more in detail.

Comprehensive list of the best Online Math Courses from world’s top universities and organizations including and more.

Applications of Linear Algebra Part 1

- - Davidson College via edX
  - 72 hours of effort required
  - Skill Level: Intermediate
  - Course Type: Instructor-led

An Online Linear Algebra course that will teach you all about using linear algebra in computer graphics an engaging and interesting way. You will be taught that making images disappear in an animation. Similarly, you will learn to create a mosaic or fractal and in data mining to measure similarities between movies, songs, or friends. Applications of linear algebra in data mining will also be discussed. This includes finding similar elements in a dataset using a measure of distance. Next, you will understand the applications of linear algebra in computer graphics completely. With that, you will learn to blend an image and create a variety if composite images as well.

After that, the Online Linear Algebra Course instructor will talk about the applications of linear algebra in data mining. All the lectures in this course have been designed to encourage you to explore and create your own ideas. So, enroll today in this course and learn to investigate your own ideas from the comfort of your home.

Become a Linear Algebra Master

- - Krista King via Udemy
  - 16,527+ already enrolled!
  - ★★★★★ (2,240 Reviews)

Online Course Effectiveness Score
Content	Engagement	Practice	Career Benefit
Good ★★★★☆	Fair ★★★☆☆	Fair ★★★☆☆	Good ★★★★☆

This is the type of course that will not only teach you linear algebra but also help you test your knowledge with 400+ practice questions. You will be taught to perform operations on one matrix, then on two matrices. Similarly, you will understand matrices as vectors that include linear combinations and span. Then linear independence and subspaces. After that, you will learn about dot products, cross products including the Cauchy-Schwarz, vector triangle inequalities, and more. After completing all the topics in the course, you have the 400+ practice questions which you can solve day in day out until you don’t get them all right. Going further, the instructor will talk about the inverses which include invertible and singular matrices. Then you will learn about the determinants and transposes in a step-by-step guide. So buckle up and get in the line of becoming a linear algebra master.

This was a brilliant course. The clarifications were incredibly clear, and that turns out to be significantly more clear in contrast with the different courses that I have taken in Linear Algebra. Krista consistently figures out how to break down the concepts that are justifiable and intuitive (R C, ★★★★★).

Krista is a really good teacher. I’m currently attempting my masters of science in engineering science. This class has helped me most to grasp what’s resulting in both my Advanced mechanics of solids, along with the applied Elasticity and Nonlinear controls classes. I overlooked algebra in my undergrad. Positively, this review has served to put it into perspective at what level this has helped me. Many thanks for the class! I used to have such stress from not understanding my classes (Treston Brown, ★★★★★).

Learn Algebra The Easy Way

- - Julio Gonzalez via Udemy
  - 5,602+ already enrolled!
  - ★★★★★ (1,144 Reviews)

Online Course Effectiveness Score
Content	Engagement	Practice	Career Benefit
Good ★★★★☆	Fair ★★★☆☆	Fair ★★★☆☆	Good ★★★★☆

Eager to learn algebra but the easy way? Well, this course is what you need for such a purpose. The course starts with basic arithmetic where the instructor will talk about addition, subtraction, multiplication, and division. Then he will talk about the slope, then graphing linear equations, exponents, factoring, and more. Similarly, you will be taught to solve quadratic equations and radicals the easy way. Going further, you will get a chance to understand rational expressions in detail. Different topics are a part of this course including basic arithmetic, fraction review, solving linear equations, etc. Thus upon completing the course, you would have successfully gained a complete understanding of the fundamentals of Algebra.

I’m taking pre-algebra-based math at university. So, this course truly assisted me with getting past the confusion that the university teacher has not explained clearly enough for me to be able to in class. This course alongside, my class studies, is assisting with associating x and y to more readily understand it (Jerry Vorhies, ★★★★★).

I’m taking pre-algebra in college, and this course has proved to help with the areas that the school instructor hasn’t been able to explain clearly. This course together with my class studies is helping to attach x and y, and helping me understand more (Jerry Vorhies, ★★★★★).

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Now that you have seen what the list of Online Linear Algebra courses has to offer, you can easily decide which course you need to enroll in. So, enroll in one of the courses now and never stop learning.

TTC Team