# Learn linear algebra with online courses and programs

### 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 areas and spaces they create.^{Footnote 1} Linear algebra and its applications are important in various disciplines, including computer science, engineering, physics, and computer animation.

The application of linear algebra in computers is often referred to as numerical linear algebra.^{Footnote 2} Linear algebra is extremely useful in computer science and computer graphics, because it provides a foundation for modeling digital objects, helping computer scientists transform numerical data into actionable information on a screen.

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

## Browse online linear algebra courses

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Use the knowledge and skills you have gained to drive impact at work and grow your career.#### Learn at your own pace

On your computer, tablet or phone, online courses make learning flexible to fit your busy life.#### Earn a valuable credential

Showcase your key skills and valuable knowledge.#### Linear algebra course curriculum

Enrolling in a linear algebra course can be an excellent way to not only learn the subject, but also understand how you might use it in the real world. An “Introduction to linear algebra” online course 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 open 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.

### Jobs 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. Linear algebra is used in a diverse range of sectors, including:

Computer science

Computer graphics

Animation

Engineering

Robotics and machine learning

Finance

Science and medicine

Architecture

Farming

In the tech world, linear algebra can help data scientists create models and work with data represented in vector and matrix form.^{Footnote 3} Stock traders who want to determine the possible outcomes of a certain stock can use linear algebra to make a model for solving unknown quantities. Linear algebra and differential equations also help architects estimate a structure’s weight and measurements and design buildings that comply with safety and durability standards.^{Footnote 4}

Explore how you can benefit from linear algebra courses delivered through edX. You can focus on specialized topics with __boot camps__ or enroll in these courses as you work toward a __bachelor's degree__ or __master's degree__.

#### How to use linear algebra in machine learning

Machine learning is another area 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 computer science or data science__ may teach learners practical uses of linear algebra in machine learning. For those interested in furthering their machine learning education, a __master's in data science__ or an __online master's in engineering__ can help you enhance your 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 boot camp__ can be an excellent way to practice coding and explore its real-life applications.

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