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MIT 18.06: Linear Algebra

Gilbert Strang's world-famous MIT course on linear algebra.

4.5(6.3k)625.7K learners EN
MICreated by MIT OpenCourseWare

27h 59m

On-demand video

36

Lessons

Included

Certificate

Mobile & TV

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MIT 18.06: Linear Algebra
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This course includes:

  • 27h 59m on-demand video (free)
  • 36 lessons
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of completion

What you'll learn

  • Understand vectors, matrices, and linear systems
  • Master eigenvalues, eigenvectors, and diagonalization
  • Apply orthogonality, projections, and least squares
  • Build the math foundation for ML and engineering

Official study guide

The complete 43-page companion book for MIT 18.06: Linear Algebra, covering every module with worked examples, key terms, self-check questions, and a full glossary. Print it or read it offline.

Course content

5 sections · 36 lessons · 27h 59m

  • An Interview with Gilbert Strang on Teaching Linear AlgebraPreview7m
  • 1. The Geometry of Linear Equations39m
  • 2. Elimination with Matrices.47m
  • 3. Multiplication and Inverse Matrices46m
  • 4. Factorization into A = LU48m
  • 5. Transposes, Permutations, Spaces R^n47m
  • 6. Column Space and Nullspace46m
  • 7. Solving Ax = 0: Pivot Variables, Special Solutions43m

Requirements

  • •High-school algebra

About this course

Gilbert Strang's world-famous MIT course on linear algebra. This curated learning path is organized into 5 modules and 36 lessons, taught by MIT OpenCourseWare. MegaCourse adds structure, learning outcomes, progress tracking, and a shareable certificate of completion.

Who this course is for

  • STEM students
  • ML learners needing math foundations

Instructor

MI
MIT OpenCourseWare

Trusted creator on MegaCourse

Licensing & attribution

License: CC BY-NC-SA 4.0

Source: MIT OpenCourseWare 18.06 (Gilbert Strang) - CC BY-NC-SA 4.0

Videos are embedded from their original creators and remain free to watch. MegaCourse's paid layer covers our own study guides, graded exams, certificates, and curation.

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