Suggested preparation: Algebra and basic mathematical fluency.
About this course
Develop a systematic understanding of linear algebra through systems of equations, vector spaces, orthogonality and eigenvalues. Lectures and supporting videos connect matrix calculations with geometric meaning.
Topics and lesson examples
- An Interview with Gilbert Strang on Teaching Linear Algebra
- 8. Solving Ax = b: Row Reduced Form R
- 17. Orthogonal Matrices and Gram-Schmidt
- 25. Symmetric Matrices and Positive Definiteness
- Final Exam Problem Solving
Course at a glance
| Provider | MIT |
|---|---|
| Platform | YouTube · MIT OpenCourseWare |
| Access | Free Video |
| Level | Intermediate — WikiFree study-level assessment |
| Language | English |
| Available lessons | 74 |
| Video duration | 35h 49m · self-paced |
| Details checked | 10 October 2026 |
Preparation and study approach
Suggested preparation: Algebra and basic mathematical fluency.
Follow the available videos in sequence, pausing to summarize the main argument or reconstruct a worked example. Keep a short list of assumptions, unfamiliar terms and questions to revisit. Additional reading, problem solving and practice will take time beyond the listed video duration.
Using this video classroom
Select a lesson from the list, or search for a topic. Previous and Next move through the sequence. You can mark lessons complete; progress is stored in this browser without a WikiFree account.
Free access and course scope
The public MIT OpenCourseWare videos in this classroom are free to watch. This listing provides the available playlist recordings, which may include selected lectures, recitations, demonstrations or supporting discussions rather than every component of the original campus course. Textbooks, equipment, software licenses, supervised labs, graded assignments and instructor feedback are not supplied by WikiFree. No purchase is required to watch the videos or use the note-based study approach above.
WikiFree independently organizes these resources for self-paced study. Watching does not award an MIT certificate, academic credit or admission to MIT.
Video provider and credit: MIT OpenCourseWare on YouTube. WikiFree titles, descriptions and cover artwork are independently prepared.
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Intermediate
Compare course focus, level and study time
| Course | Level | Focus | Study time |
|---|---|---|---|
| This course — Free MIT Course: Linear Algebra: Matrices, Eigenvalues and Vector Spaces | Intermediate | An Interview with Gilbert Strang on Teaching Linear Algebra · 8. Solving Ax = b: Row Reduced Form R · 17. Orthogonal Matrices and Gram-Schmidt | 35h 49m of video; practice time is additional |
| Linear Algebra: Free Course | Professional | Linear algebra · Vector spaces · Matrix transformations | 35h 36m of video; practice time is additional |
| Essence of Linear Algebra: Free Course | Intermediate | Vectors · Matrix transformations · Determinants | 3h 0m of video; practice time is additional |
| Free MIT Course: Linear Algebra Essentials and Matrix Factorization | Intermediate | Intro: A New Way to Start Linear Algebra · Part 2: The Big Picture of Linear Algebra · Part 4: Eigenvalues and Eigenvectors | 3h 42m of video; practice time is additional |
Provider: MIT. Videos play from the MIT OpenCourseWare channel on YouTube.
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