Linear algebra is a mathematical concept that is a useful tool in various fields of study like computation and engineering. There are numerous resources through which you can acquire knowledge of linear algebra. One of those is online courses. Many prestigious universities are offering courses through the medium of MOOC platforms. The aim of these platforms is to disseminate knowledge beyond boundaries and to reach large masses.

Here are some best free online courses to learn linear algebra for beginners, intermediate and advanced learners. These courses will provide you great knowledge of all related concepts of algebra and develop skills that are useful in solving real-world problems.

## Best Free Online Courses to Learn Linear Algebra

For Beginners: Starting with the beginners, edX, and Imperial College, London have one free online linear algebra course each to offer. These courses range from 4 weeks to 5 weeks.

### 1.Introduction to Algebra – SchoolYourself

EdX is offering an introductory course of Linear Algebra from SchoolYourself to make your basics clear. Linear algebra has an important role in math, science, and engineering. This course will help you to develop a strong foundation of Algebra by imparting your knowledge and understanding of the application of basic concepts.

This course covers topics like fractions, powers, roots, and simplification of expressions with exponents, single-variable and multivariable equations and inequalities, graph lines, graph quadratics.

This 4 weeks long course gives you a chance to get a hold of the subject from the very beginning without doing much effort.

**PROVIDER**: EdX**COST**: Free Online Course**EFFORT**: 4-6 hours a week**DURATION**: 4 weeks long**CERTIFICATE**: Paid Certificate Available**LANGUAGE**: English

### 2. Mathematics for Machine Learning: Linear Algebra – Imperial College, London

Imperial College of London offers Mathematics for Machine Learning: Linear Algebra via Coursera for beginners. This course starts disseminating knowledge of the basics of Linear Algebra concepts and how to apply them to Machine Learning to solve real problems.

The topics that are going to be covered in this course are linear Algebra, Machine Learning, Transformation matrices, vector spacing, Eigenvalues, and Eigenvectors, etc.

This is a short course of 5 weeks which imparts a great amount of knowledge and understanding and develops application understanding solving coding problems.

**PROVIDER**: Coursera**COST**: Free Online Course**EFFORT**: 2-5 hours a week**DURATION**: 5 weeks long**CERTIFICATE**: Paid Certificate Available**LANGUAGE**: English

For Intermediate level learners: Udacity and MIT are offering free online linear algebra courses for everyone. These courses are self-paced and you can complete them in 12 weeks to 16 weeks.

### 3. Linear Algebra Refresher Course

Udacity offers one of the top-rated online linear algebra courses for intermediate level learners. This is a good resource that brush-up all your concepts of algebra and teaches you how to use these concepts in computer programming. It does not demand prerequisite knowledge, just little familiarity with Computer languages and algebra will help you excel in this course.

This is a 16 weeks long course that helps you in solving real algebraic problems in a programming context. And at the end of this course, you’ll be able to code your own library of linear algebra functions for solving real-world problems.

**PROVIDER**: Udacity**COST**: Free Online Course (Audit)**EFFORT**: Self-paced**DURATION**: 16 weeks long**LANGUAGE**: English

### 4. Differential Equations: Linear Algebra and NxN Systems of Differential Equations – Massachusetts Institute of Technology

Massachusetts Institute of Technology via edX offers a course on Differential Equations for intermediate level learners. This course will help to learn how to use linear algebra to solve systems of more than 2 differential equations. It also assists you in learning how to use MATLAB.

The contents going to be covered in this course are Model and systems of differential equations, vector space, eigenvalue and eigenvector, and MATLAB.

This 12 weeks course makes you a proficient learner of linear algebra and MATLAB who can solve difficult differential equations easily.

**PROVIDER**: EdX**COST**: Free Online Course**EFFORT**: 5-8 hours a week**DURATION**: 12 weeks long**CERTIFICATE**: Paid Certificate Available**LANGUAGE**: English

For Advanced level learners: Great if you’re at this level, The University of Texas at Austin has an advanced free linear algebra course for you. It may take 15 weeks to 20 weeks to complete this course.

### 5. Advanced Linear Algebra: Foundations to Frontiers –The University of Texas at Austin

The University of Texas at Austin via Edx offers Advanced Linear Algebra: Foundations to Frontiers to meet the learning needs of advanced-level learners like computational and data scientists. The course revolves around contents like Matrices, numerical error, linear systems, and Computing and employing eigenvalues and eigenvectors.

This 15 weeks long course is a good resource for disseminating knowledge, understanding and developing relevant skills of linear algebra in students as well as professionals.

**PROVIDER**: EdX**COST**: Free Online Course**EFFORT**: 6-10 hours a week**DURATION**: 15 weeks long**CERTIFICATE**: Paid Certificate Available**LANGUAGE**: English

The above-enlisted courses are an amazing source to give a solid start to linear algebra learning. Some courses will provide you pure algebra knowledge and some will formulate a relationship with other fields like computational programming and Machine Learning to make you more proficient in solving real-world problems.