• Length:
    8 Weeks
  • Effort:
    6–8 hours per week
  • Price:

    Add a Verified Certificate for $49 USD

  • Institution
  • Subject:
  • Level:
  • Language:
  • Video Transcript:


High school algebra. Some calculus is useful for certain examples or problems but is not strictly necessary.

About this course

Skip About this course
Linear algebra is at the core of all of modern mathematics, and is used everywhere from statistics and data science, to economics, physics and electrical engineering.  However, learning the subject is not principally about acquiring computational ability, but is more a matter of fluency in its language and theory. 

In this course, we will start with systems of linear equations, and connect them to vectors and vector spaces, matrices, and linear transformations.  We will be emphasizing the vocabulary throughout, so that students become comfortable working with the different aspects.  

We will then introduce matrix and vector operations such as matrix multiplication and inverses, paying particular attention to their underlying purposes.  Students will learn not just how to calculate them, but also why they work the way that they do. 

We will discuss the key concepts of basis and dimension, which form the foundation for many of the more advanced concepts of linear algebra. 

The last chapter concerns inner products, which allow us to use linear algebra for approximating solutions; we will see how this allows for applications ranging from statistics and linear regression to digital audio.

This course is Part One of a two-part course. Part Two will cover topics such as determinants and eigenvectors.

What you'll learn

Skip What you'll learn
The relationships between linear equations, matrices, and linear transformations; the principles of vector and matrix operations; the significance of basis and dimension of a vector space; the applications of inner products and orthogonality.

Meet your instructors

Stephen Wang
Associate Teaching Professor
Rice University

Pursue a Verified Certificate to highlight the knowledge and skills you gain $49.00

View a PDF of a sample edX certificate
  • Official and Verified

    Receive an instructor-signed certificate with the institution's logo to verify your achievement and increase your job prospects

  • Easily Shareable

    Add the certificate to your CV or resume, or post it directly on LinkedIn

  • Proven Motivator

    Give yourself an additional incentive to complete the course

  • Support our Mission

    EdX, a non-profit, relies on verified certificates to help fund free education for everyone globally