Explore the best online linear algebra courses

Linear algebra can be used to solve problems in a wide range of fields, from computer science to economics. Learn linear algebra with online courses delivered through edX.

Key takeaways

  • Build foundational linear algebra skills through flexible online courses designed by leading universities.
  • Develop mathematical and analytical skills used in computer science, data science, artificial intelligence, engineering, and finance.
  • Prepare for careers that apply linear algebra by strengthening your understanding of algebra, matrices, vectors, and related mathematical concepts.

Popular online linear algebra courses with certificates

Linear Algebra I: Linear Equations
The Georgia Institute of Technology
Course
Linear Algebra II: Matrix Algebra
The Georgia Institute of Technology
Course
Introduction to Linear Models and Matrix Algebra
Harvard University
Course
Linear Algebra - Foundations to Frontiers
The University of Texas at Austin
Course

What is linear algebra?

Linear algebra is a branch of mathematics that studies vectors, matrices, lines, and the spaces they create. Linear algebra and its applications are important in various disciplines, including computer science, engineering, physics, artificial intelligence (AI), and computer animation.

Around the world, professionals use linear algebra to:

  • Solve linear equations
  • Interpret geometric concepts
  • Create algorithms
  • Design and render 2D or 3D animations
  • Compose audio, videos, and images
  • Program machine learning systems
  • Cluster and classify data

Why learn linear algebra?

  • Solve real-world problems using mathematical models, vectors, and matrices.
  • Understand the mathematical concepts behind technologies such as computer graphics, machine learning, and image processing.
  • Strengthen your problem-solving and critical thinking skills through logical reasoning and quantitative analysis.

Browse linear algebra courses

Browse online Linear Algebra certificates

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Certificates

Introductory Linear Algebra
The Georgia Institute of Technology
Professional Certificate
2 Courses
Mastering Linear Algebra
Delft University of Technology
Professional Certificate
2 Courses
Applications of Linear Algebra
The Georgia Institute of Technology
Professional Certificate
2 Courses
Mathematics and Statistics Fundamentals
The London School of Economics and Political Science
MicroBachelors
5 Courses
Mastering Calculus
Delft University of Technology
Professional Certificate
2 Courses
Essential Math for AI Programming & Data Structures
Columbia University
Professional Certificate
2 Courses
Mastering Probability and Statistics
Delft University of Technology
Professional Certificate
2 Courses
Quantum 201: Quantum Computing & Quantum Internet
Delft University of Technology
Professional Certificate
2 Courses

Careers that use linear algebra

Linear algebra skills can support careers that involve mathematical modeling, data analysis, algorithms, and scientific computing. While some roles require advanced education, online linear algebra courses can help you build foundational knowledge for careers in mathematics, computer science, engineering, finance, and related fields.

Here are a few examples, along with salary information from the Bureau of Labor Statistics.

Data scientist

Data scientists collect, sort, and analyze data to help organizations make informed decisions. Their duties typically include creating and running tests, working with algorithms, and drawing conclusions based on raw data.

  • Required education: Bachelor's degree in data science, computer science, statistics, or a related field
  • Median annual salary (2024): $112,590

Why learn linear algebra online with edX

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How to start learning linear algebra

Whether you're new to linear algebra or looking to deepen your mathematical knowledge, edX offers courses for every experience level. Start with the fundamentals, build core concepts, and explore advanced applications in fields such as artificial intelligence (AI), data science, and machine learning.

1. Build a foundation in algebra, vectors, and systems of equations

Introductory linear algebra courses help you reinforce basic algebra skills and knowledge, while exposing you to some advanced concepts. If you left school many years ago, start with a math foundations course.

Featured courses

Linear Algebra I: Linear Equations
The Georgia Institute of Technology
Course
Linear Algebra - Foundations to Frontiers
The University of Texas at Austin
Course
Maths Foundations
Adelaide University
Course

Explore linear algebra programs

FAQ

Frequently Asked Questions

Can I earn a certificate in linear algebra?

Yes. edX offers Professional Certificate programs and individual courses in linear algebra and related mathematics topics. Many programs can be completed in a few months, though the length, cost, and prerequisites vary. Review the program details before enrolling to find an option that matches your experience and learning goals.

Why is linear algebra important?

Linear algebra is important because it allows you to solve equations for unknown quantities. Linear algebra is widely used in multiple fields, from computers to farming. Without linear algebra, high-level computer functions such as facial recognition, image processing, and recommendation systems would not be possible. Linear algebra can be used to optimize and predict multiple types of information.

What will I learn in an online linear algebra course?

Linear algebra courses cover systems of equations, matrix theory, and vector spaces. Struggling in an introductory course may mean you need to reinforce basic math and algebra skills. edX foundational math courses let you develop these important skills at your own pace and at no charge.

Do I need calculus before learning linear algebra?

Some linear algebra courses recommend or require prior knowledge of calculus, while others are designed for beginners. Review the prerequisites for the course you're interested in before enrolling. If you need to strengthen your math foundation, edX offers introductory algebra and calculus courses to help you prepare.

Is linear algebra difficult to learn?

Linear algebra can be challenging if you're unfamiliar with algebra, calculus, or other foundational math concepts. If it's been a while since you've studied math, consider refreshing your skills before tackling more advanced topics. edX offers flexible introductory math courses to help learners build confidence and prepare for linear algebra.

What can you do with linear algebra?

Linear algebra skills can help you qualify for a wide range of jobs. Linear algebra is used in a variety of fields, from computer science to agriculture. In computer science, linear algebra is used for creating statistical learning models, manipulating images, and plotting or rotating shapes for 3D or 2D graphics. Linear algebra is also used in graphics, machine learning, cryptography, web mining, and quantum mechanics. Even weather forecasts and real estate evaluation models are built with linear algebra.