Week 1. Vectors
Week 2. Linear combination and spans, Linear dependence and independence
Week 3. Subspaces and the basis for a subspace, vector dot and cross products
Week 4. Matrices for solving systems by elimination, null space and column space
Week 5. Functions and linear transformation, linear transformation examples
Week 6. Transformations and matrix multiplication, inverse functions and transformation examples
Week 7. Finding inverses and determinants, more determinant depth
Week 8. Transpose of a matrix
Week 9. Orthogonal complements, Orthogonal projections
Week 10. Change of basis, Orthonormal bases and the Gram-Schmidt process
Week 11. Eigen-everything
Week 12. linear algebra in DL/ML