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University of Colorado Boulder

Essential Linear Algebra for Data Science

University of Colorado Boulder via Coursera


Are you interested in Data Science but lack the math background for it? Has math always been a tough subject that you tend to avoid? This course will teach you the most fundamental Linear Algebra that you will need for a career in Data Science without a ton of unnecessary proofs and concepts that you may never use. Consider this an expressway to Data Science with approachable methods and friendly concepts that will guide you to truly understanding the most important ideas in Linear Algebra.

This course is designed to prepare learners to successfully complete Statistical Modeling for Data Science Application, which is part of CU Boulder's Master of Science in Data Science (MS-DS) program.

Logo courtesy of Dan-Cristian Pădureț on


  • Linear Systems and Gaussian Elimination
    • In this module we will learn what a matrix is and what it represents. We will explore how a system of linear equations can be expressed in a neat package via matrices. Lastly, we will delve into coordinate systems and provide visualizations to help you understand matrices in a more well-rounded way.
  • Matrix Algebra
    • In this module we will learn how to solve a linear system of equations with matrix algebra.
  • Properties of a Linear System
    • In this module we will explore concepts and properties of linear systems. This includes independence, basis, rank, row space, column space, and much more.
  • Determinant and Eigens
    • In this module we will discuss projections and how they work. We will build on a foundation using 2-dimensional projections and explore the concept in higher dimensions over time.
  • Projections and Least Squares
    • In this module we will learn how to compute the determinant of a matrix. Afterwards, Eigenvalues and Eigenvectors will be covered.

Taught by

James Bird and Jane Wall


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