{%hackmd 5xqeIJ7VRCGBfLtfMi0_IQ %}

## Reading materials

1. [Learning resources](https://hackmd.io/@jephianlin/2023FMath103A-resources) from Linear Algebra I
2. [Handout: matrix-tree theorem](https://www.math.nsysu.edu.tw/~chlin/math-runway/matrix-tree-theorem.pdf)
3. [Wrong way to find the determinant](https://hackmd.io/@jephianlin/rkVo8SMnT)
4. [Video: definition of the determinant](https://www.youtube.com/watch?v=TTCRcjLk5gQ&list=PLjjwN6s_CKYmQxrepvVFCe5YccZnemcJW&index=1)
5. Definition of the determinant: [Hefferon](https://hefferon.net/linearalgebra/) Four.I.1 ~ 2
6. [Find the determinant](https://hackmd.io/@jephianlin/HJ8o-Bzna)
7. [Video: elementary matrix](https://www.youtube.com/watch?v=PVyyaADBd90&list=PLjjwN6s_CKYmQxrepvVFCe5YccZnemcJW&index=2)
8. [Write a matrix as the product of elementary matrices](https://hackmd.io/@jephianlin/rkHtBrzhT)
9. Geometry of Determinants: [Hefferon](https://hefferon.net/linearalgebra/) Four.II
10. [Matrices with dependent rows](https://hackmd.io/@jephianlin/Byks-n4a6)
11. [Distributive law](https://hackmd.io/@jephianlin/Syxyjh4Tp)
12. Permutation expansion: [Hefferon](https://hefferon.net/linearalgebra/) Four.I.3
13. Laplace expansion: [Hefferon](https://hefferon.net/linearalgebra/) Four.I.3
14. [Matrix multiplication and transpose](https://hackmd.io/@jephianlin/SymLWz4Cp)
15. [Block matrix](https://hackmd.io/@jephianlin/HkDuWf4Ra)
16. [Midterm 1: Questions to ponder](https://hackmd.io/@jephianlin/2024SMath104A-mid1) :star:
17. [The Method of Least Squares](https://textbooks.math.gatech.edu/ila/least-squares.html)
18. [Image compression by singular value decomposition](https://hackmd.io/@jephianlin/SkwuArxy0)
19. Similarity: [Hefferon](https://hefferon.net/linearalgebra/) Five.II
20. Observe a matrix from a different basis: [LR of Math103A](https://hackmd.io/@jephianlin/2023FMath103A-resources) 31~35
21. [Quadratic curve](https://hackmd.io/@jephianlin/r1V8siMlR)
22. [Diagonalization](https://hackmd.io/@jephianlin/BJjxhjzlC)
23. [Find a good basis](https://hackmd.io/@jephianlin/S1221pfgC)
24. [Characteristic polynomial](https://hackmd.io/@jephianlin/SJeMoGYlC)
25. [Find the characteristic polynomial](https://hackmd.io/@jephianlin/HJstaMFlA)
26. [Vieta's formula](https://hackmd.io/@jephianlin/ryvi7ehxR)
27. [Diagonalizable or not](https://hackmd.io/@jephianlin/Sy-ZWWhgR)
28. [Midterm 2: Questions to ponder](https://hackmd.io/@jephianlin/2024SMath104A-mid2) :star:
29. [Projection](https://hackmd.io/@jephianlin/rJdkmhVMA)
30. [Least squares problem](https://hackmd.io/@jephianlin/r1sbcnNz0)
31. [Linear regression](https://hackmd.io/@jephianlin/rkr7R3VGC)
32. [Polynomial regression](https://hackmd.io/@jephianlin/HkXXb6NfR)
33. [Basic NumPy](https://hackmd.io/@jephianlin/BJqyEaNf0)
34. [Find an orthonormal basis of a subspace](https://hackmd.io/@jephianlin/ryV2RtwQA)
35. [Find an orthonormal basis composed of eigenvectors](https://hackmd.io/@jephianlin/rJSU_qwm0)
36. [Find the spectral decomposition](https://hackmd.io/@jephianlin/rk0DscvX0)
37. [Rayleigh quotient of a diagonal matrix](https://hackmd.io/@jephianlin/S1p9uLyNC)
38. [Rayleigh quotient of a real symmetric matrix](https://hackmd.io/@jephianlin/S11Zrw1E0)
39. [Singular value decomposition](https://hackmd.io/@jephianlin/SybtOmg4A)
40. [AB and BA have the same nonzero eigenvalues](https://hackmd.io/@jephianlin/B1upnXxVR)
41. [Find the singular value decomposition](https://hackmd.io/@jephianlin/rkhkeExV0)
42. [Final exam: Questions to ponder](https://hackmd.io/@jephianlin/2024SMath104A-final)