Learn linear algebra with online courses and programs

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.

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What is linear algebra?

When you play a video game, watch a movie with animated graphics, transform an image in Photoshop, or even do a simple internet search, you are using technologies built from linear algebra concepts.

Defined simply, 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 devices.
Cluster and classify data.

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How to choose the right linear algebra program

As you browse linear algebra learning options, consider your professional goals, budget, and schedule. You can learn linear algebra in the following formats:

Linear algebra learning options
Program type	Best for	Cost	Duration
Online courses	Beginners or those curious about learning the basics of linear algebra	Free with optional certificates ranging from $50-$300	Can typically be completed within 4-12 weeks
Professional certificates	Those who already use linear algebra in their line of work and want to advance their career, or those who want to switch to a career that uses linear algebra	$500-$1,500	Can typically be completed within 2-10 months
Degree programs	Those who want to pursue a long-term career requiring deep knowledge of various linear algebra concepts	$10,000-$200,000	Can typically be completed within 4-6 years

Linear algebra course curriculum

Enrolling in a linear algebra course can be an excellent way to not only improve your math skills but also understand how you might apply them in the real world. An introductory online course in linear algebra can teach learners about fundamental concepts that can be applied to a variety of professional fields. Coursework may cover topics like systems of equations, algorithms, matrices, data analysis, machine learning, and quantitative finance.

A linear algebra course may cover the fundamental theorem of linear algebra and the applications of linear algebra. From foundational algebra tutorials to advanced courses, a variety of educational opportunities are available that can fit different learners' needs. edX makes it easy to explore all available training and certificate options.

Careers that use linear algebra

Learning linear algebra can prepare you for an exciting career in fields that require an understanding of mathematical calculations and equations. There are many professions that call for linear algebra expertise.

Explore how you can benefit from linear algebra courses delivered through edX. You can focus on specialized topics with professional certificate programs or enroll in courses to work toward a bachelor's degree or master's degree.

See some of the professions that incorporate linear algebra below, including salary data 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

Computer and information research scientist

Computer and information research scientists develop technology for use in various fields, including science, medicine, and business. This role requires problem-solving, collaboration, and research skills.

Required education: Master's degree in computer science or a related field
Median annual salary (2024): $140,910

Mathematician

Mathematicians apply statistical theories and techniques to solve problems for various industries using surveys, experiments, and polls. Their job requires data analysis, linear algebra, data visualization, and communication skills.

Required education: Master's degree in mathematics, statistics, or a related field
Median annual salary (2024): $104,350

How to use linear algebra in machine learning

Machine learning is another field that relies on linear algebra. Around the world, linear algebra for machine learning is a foundational element of computer and artificial intelligence programming. For example, linear algebra is used to make machines like computers recognize images through pixels.

Other machine learning functions that use linear algebra include:

Prediction and optimization
Quantum computing
Graphics
Signal analysis
Linear programming
Deep learning

A bachelor's in data science or computer science may teach learners practical uses of linear algebra in machine learning. A master's in data science or an online master's in engineering can help those interested in furthering their machine learning education enhance their skills and prepare for an exciting career. Since knowledge of multiple coding languages is also important for working in machine learning, enrolling in a coding course or program can be an excellent way to practice coding and explore its real-life applications.

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Frequently asked questions about linear algebra

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's the difference between calculus and linear algebra?

Calculus and linear algebra are two different branches of mathematics that deal with mathematical functions. Calculus is the study of how quantities change through derivatives and integrals, while linear algebra focuses on vector spaces, linear transformations, and matrix operations.

Is linear algebra as hard as calculus?

Depending on your skill set and experience level, linear algebra can be easier or harder than calculus. Calculus requires an understanding of algebra, so some might argue that linear algebra is easier than calculus. However, this may not be the case for everyone.

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.

Last updated September 18, 2025