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MIT 18.06 Linear Algebra (Gilbert Strang): study plan and how long it takes

The MIT OpenCourseWare playlist is 36 videos and 28.0 hours long. Here's how long it takes at different paces, a week-by-week schedule built from the real videos, and a planner that turns it into your own daily plan.

36 videos · 28.0 hours · MIT OpenCourseWare

Gilbert Strang's MIT 18.06 (Spring 2005) is perhaps the most famous maths course online. It covers solving linear systems, elimination and matrix multiplication, inverses, vector spaces, column space and nullspace, independence and basis, orthogonality and projections, least squares, determinants, eigenvalues and eigenvectors, positive definite matrices and the SVD.

Strang's teaching makes the four fundamental subspaces genuinely clear, and the course materials are on MIT OpenCourseWare.

Who it's for: Students and engineers, especially those heading into machine learning, who want a deep, classic linear algebra course.

How long does it take?

The full playlist is 28.0 hours across 36 videos. Here's roughly how many days that is at different daily watch times and speeds, counting video time only:

Days to finish the playlist by daily watch time and playback speed
Daily timeAt 1xAt 1.5xAt 2x
30 min a day56 days38 days28 days
1 h a day28 days19 days14 days
2 h a day14 days10 days7 days

Make your own schedule

The playlist link is already filled in. Press Plan, set how much time you have each day and your speed, and you'll get a day-by-day schedule with a finish date and a calendar file. It reads the live playlist, so new videos are included.

Week-by-week schedule

A sample plan at 1 hour a day and normal speed, using whole videos so none is split across days. That's 5 weeks in total. For a different pace, start date or speed, use the planner above.

Week 1Videos 1–8 · 5h 27m
  1. Day 1 · 47m

    • 1An Interview with Gilbert Strang on Teaching Linear Algebra8m
    • 21. The Geometry of Linear Equations40m
  2. Day 2 · 48m

    • 32. Elimination with Matrices.48m
  3. Day 3 · 47m

    • 43. Multiplication and Inverse Matrices47m
  4. Day 4 · 48m

    • 54. Factorization into A = LU48m
  5. Day 5 · 48m

    • 65. Transposes, Permutations, Spaces R^n48m
  6. Day 6 · 46m

    • 76. Column Space and Nullspace46m
  7. Day 7 · 43m

    • 87. Solving Ax = 0: Pivot Variables, Special Solutions43m
Week 2Videos 9–15 · 5h 38m
  1. Day 8 · 47m

    • 98. Solving Ax = b: Row Reduced Form R47m
  2. Day 9 · 50m

    • 109. Independence, Basis, and Dimension50m
  3. Day 10 · 49m

    • 1110. The Four Fundamental Subspaces49m
  4. Day 11 · 46m

    • 1211. Matrix Spaces; Rank 1; Small World Graphs46m
  5. Day 12 · 48m

    • 1312. Graphs, Networks, Incidence Matrices48m
  6. Day 13 · 48m

    • 1413. Quiz 1 Review48m
  7. Day 14 · 50m

    • 1514. Orthogonal Vectors and Subspaces50m
Week 3Videos 16–22 · 5h 51m
  1. Day 15 · 49m

    • 1615. Projections onto Subspaces49m
  2. Day 16 · 48m

    • 1716. Projection Matrices and Least Squares48m
  3. Day 17 · 49m

    • 1817. Orthogonal Matrices and Gram-Schmidt49m
  4. Day 18 · 49m

    • 1918. Properties of Determinants49m
  5. Day 19 · 53m

    • 2019. Determinant Formulas and Cofactors53m
  6. Day 20 · 51m

    • 2120. Cramer's Rule, Inverse Matrix, and Volume51m
  7. Day 21 · 51m

    • 2221. Eigenvalues and Eigenvectors51m
Week 4Videos 23–29 · 5h 45m
  1. Day 22 · 52m

    • 2322. Diagonalization and Powers of A52m
  2. Day 23 · 51m

    • 2423. Differential Equations and exp(At)51m
  3. Day 24 · 51m

    • 2524. Markov Matrices; Fourier Series51m
  4. Day 25 · 48m

    • 2624b. Quiz 2 Review48m
  5. Day 26 · 44m

    • 2725. Symmetric Matrices and Positive Definiteness44m
  6. Day 27 · 48m

    • 2826. Complex Matrices; Fast Fourier Transform48m
  7. Day 28 · 51m

    • 2927. Positive Definite Matrices and Minima51m
Week 5Videos 30–36 · 5h 19m
  1. Day 29 · 46m

    • 3028. Similar Matrices and Jordan Form46m
  2. Day 30 · 40m

    • 3129. Singular Value Decomposition40m
  3. Day 31 · 49m

    • 3230. Linear Transformations and Their Matrices49m
  4. Day 32 · 50m

    • 3331. Change of Basis; Image Compression50m
  5. Day 33 · 47m

    • 3432. Quiz 3 Review47m
  6. Day 34 · 42m

    • 3533. Left and Right Inverses; Pseudoinverse42m
  7. Day 35 · 43m

    • 3634. Final Course Review43m

Tips for finishing

  • Plan three lectures a week alongside his textbook or the OCW problem sets.
  • Watch 3Blue1Brown's Essence of Linear Algebra first or alongside for the geometric intuition.