Linear algebra

Topics, in order

1. Systems and Gaussian elimination
2. Matrix algebra and inverses
3. Vector spaces, basis, and dimension
4. Linear transformations
5. Determinants
6. Eigenvalues and diagonalization
7. Orthogonality and least squares
8. Singular value decomposition

Final exam

A few questions from every topic, to check you are ready to move on.

Learn from

• 3Blue1Brown, Essence of linear algebra
• MIT OpenCourseWare 18.06 with Gilbert Strang
• Strang, Introduction to Linear Algebra

Move on when

You can diagonalize a matrix and explain what its eigenvectors mean.