1. Scalars, vectors, matrices, tensors

2. Vector spaces

3. Vector operations (addition, scalar multiplication, dot product, cross product)

4. Matrix operations (addition, multiplication, transpose)

5. Identity matrix & inverse matrix

6. Determinants

7. Systems of linear equations (Gaussian elimination)

8. Eigenvalues & Eigenvectors

9. Singular Value Decomposition (SVD)

10. Principal Component Analysis (PCA)

11. Norms (L1, L2, Frobenius)

12. Cosine similarity

13. Orthogonality & projections

14. Span, basis, rank, nullity

15. Change of basis