Linear Algebra

Stage 1, Methods Track

Last Updated

18 October 2026

Course Materials

Main Text. Gilbert Strang, Introduction to Linear Algebra, 6th edition (Wellesley-Cambridge Press, 2023), with the author’s free solutions to the exercises.

Companions. Jim Hefferon, Linear Algebra, for worked answers to every exercise, and Margalit and Rabinoff, Interactive Linear Algebra, for figures.

Lectures. MIT 18.06SC, taught by Gilbert Strang.

Chapters

Chapter Status
1. Vectors and Matrices In Progress
2. Solving Linear Equations Ax = b Not Started
3. The Four Fundamental Subspaces Not Started
4. Orthogonality Not Started
5. Determinants Not Started
6. Eigenvalues and Eigenvectors Not Started
7. The Singular Value Decomposition (SVD) Not Started
8. Linear Transformations Not Started
9. Linear Algebra in Optimization Not Started
10. Learning from Data Not Started