# Numerical Linear Algebra

- Institution: IIT Roorkee
- Department: Mathematics
- Teacher: Prof. P.N. Agrawal Prof. D. N Pandey
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111107106)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111107106)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Matrix Operations and Types of Matrices](https://invisiblenetwork.ai/learn/nptel/111107106/eb48376ba0a1) (Video)
2. [Determinant of a Matrix](https://invisiblenetwork.ai/learn/nptel/111107106/6c38def98725) (Video)
3. [Rank of a Matrix](https://invisiblenetwork.ai/learn/nptel/111107106/31e8f859cbc0) (Video)
4. [Vector Space-I](https://invisiblenetwork.ai/learn/nptel/111107106/006871c689b5) (Video)
5. [Vector Space-II](https://invisiblenetwork.ai/learn/nptel/111107106/392ecebe8b30) (Video)
6. [Linear dependence and independence](https://invisiblenetwork.ai/learn/nptel/111107106/29a30e14ee11) (Video)
7. [Bases and Dimension - I](https://invisiblenetwork.ai/learn/nptel/111107106/bf939bdf579c) (Video)
8. [Bases and Dimension - II](https://invisiblenetwork.ai/learn/nptel/111107106/fc3c59b481a8) (Video)
9. [Linear Transformation - I](https://invisiblenetwork.ai/learn/nptel/111107106/608613d47911) (Video)
10. [Linear Transformation - II](https://invisiblenetwork.ai/learn/nptel/111107106/8db97d1c93e3) (Video)
11. [Orthogonal Subspaces](https://invisiblenetwork.ai/learn/nptel/111107106/ebd5807fdb0d) (Video)
12. [Row Space, Column Space and Null Space](https://invisiblenetwork.ai/learn/nptel/111107106/5f1acbc70acd) (Video)
13. [Eigen Values & Eigen Vectors-I](https://invisiblenetwork.ai/learn/nptel/111107106/efa076fc12d2) (Video)
14. [Eigen Values & Eigen Vectors-II](https://invisiblenetwork.ai/learn/nptel/111107106/ddc40f2edb3b) (Video)
15. [Diagonalizable Matrices](https://invisiblenetwork.ai/learn/nptel/111107106/9254a41103c6) (Video)
16. [Orthogonal Sets](https://invisiblenetwork.ai/learn/nptel/111107106/6138c87719e2) (Video)
17. [Gram Schmidt ortthogonalization and orthogonal bases](https://invisiblenetwork.ai/learn/nptel/111107106/12a87d84333c) (Video)
18. [Introduction to Matlab](https://invisiblenetwork.ai/learn/nptel/111107106/a64ebf94dc51) (Video)
19. [Sign Integer Representation](https://invisiblenetwork.ai/learn/nptel/111107106/15f3a2e19158) (Video)
20. [Computer Representation of Numbers](https://invisiblenetwork.ai/learn/nptel/111107106/d342a2868d5e) (Video)
21. [Floating Point Representation](https://invisiblenetwork.ai/learn/nptel/111107106/1147c7269e3e) (Video)
22. [Round-off Error](https://invisiblenetwork.ai/learn/nptel/111107106/f0741003894e) (Video)
23. [Error Propagation in Computer Arithmetic](https://invisiblenetwork.ai/learn/nptel/111107106/fb2ff692a46e) (Video)
24. [Addition and Multiplication of Floating Point Numbers](https://invisiblenetwork.ai/learn/nptel/111107106/9d907a16fae6) (Video)
25. [Conditioning and Condition Numbers-I](https://invisiblenetwork.ai/learn/nptel/111107106/216253b20364) (Video)
26. [Conditioning and Condition Numbers-II](https://invisiblenetwork.ai/learn/nptel/111107106/d3e105a6a149) (Video)
27. [Stability of Numerical Algorithms-I](https://invisiblenetwork.ai/learn/nptel/111107106/a1225bc1cf91) (Video)
28. [Stability of Numerical Algorithms-II](https://invisiblenetwork.ai/learn/nptel/111107106/b7618d9b1de4) (Video)
29. [Vector Norms - I](https://invisiblenetwork.ai/learn/nptel/111107106/c47fe3add5f5) (Video)
30. [Vector Norms - II](https://invisiblenetwork.ai/learn/nptel/111107106/bc455d2b5363) (Video)
31. [Matrix Norms - I](https://invisiblenetwork.ai/learn/nptel/111107106/ef629da246ae) (Video)
32. [Matrix Norms - II](https://invisiblenetwork.ai/learn/nptel/111107106/c43aabf60b81) (Video)
33. [Convergent Matrices - I](https://invisiblenetwork.ai/learn/nptel/111107106/4e46f8cc3177) (Video)
34. [Convergent Matrices - II](https://invisiblenetwork.ai/learn/nptel/111107106/ae885cd3c312) (Video)
35. [Stability of non linear system](https://invisiblenetwork.ai/learn/nptel/111107106/eab01f8bf1d3) (Video)
36. [Condition number of a matrix: Elementary Properties](https://invisiblenetwork.ai/learn/nptel/111107106/9c918b244383) (Video)
37. [Sensitivity Analysis-I](https://invisiblenetwork.ai/learn/nptel/111107106/91f36bf27909) (Video)
38. [Sensitivity Analysis-II](https://invisiblenetwork.ai/learn/nptel/111107106/732830615ee5) (Video)
39. [Residual Theorem](https://invisiblenetwork.ai/learn/nptel/111107106/90de4d0129b8) (Video)
40. [Nearness to Singularity](https://invisiblenetwork.ai/learn/nptel/111107106/3fcf8e0b2fac) (Video)
41. [Estimation of the Condition Number](https://invisiblenetwork.ai/learn/nptel/111107106/02363e00d8af) (Video)
42. [Singular value decomposition of a matrix - I](https://invisiblenetwork.ai/learn/nptel/111107106/e49dff1fc2fa) (Video)
43. [Singular value decomposition of a matrix - II](https://invisiblenetwork.ai/learn/nptel/111107106/3e84c304c8b7) (Video)
44. [Orthonormal Projections](https://invisiblenetwork.ai/learn/nptel/111107106/cec78536c187) (Video)
45. [Algebraic and geometric properties of SVD](https://invisiblenetwork.ai/learn/nptel/111107106/34ea8de2fb62) (Video)
46. [SVD and their applications](https://invisiblenetwork.ai/learn/nptel/111107106/c56c43f77b03) (Video)
47. [Perturbation theorem for singular values](https://invisiblenetwork.ai/learn/nptel/111107106/15434d1791e4) (Video)
48. [Outer product expansion of a matrix](https://invisiblenetwork.ai/learn/nptel/111107106/6d934985fcce) (Video)
49. [Least square solutions - I](https://invisiblenetwork.ai/learn/nptel/111107106/141e92d81519) (Video)
50. [Least square solutions - II](https://invisiblenetwork.ai/learn/nptel/111107106/0d5655f491c9) (Video)
51. [Householder matrices](https://invisiblenetwork.ai/learn/nptel/111107106/00ea9a4d7172) (Video)
52. [Householder matrices and their applications](https://invisiblenetwork.ai/learn/nptel/111107106/82ec11a49328) (Video)
53. [Householder QR factorization- I](https://invisiblenetwork.ai/learn/nptel/111107106/d117735f9c75) (Video)
54. [Householder QR factorization- II](https://invisiblenetwork.ai/learn/nptel/111107106/769730e1b000) (Video)
55. [Basic theorems on eigenvalues and QR method](https://invisiblenetwork.ai/learn/nptel/111107106/fe7d9d7f1b1a) (Video)
56. [Power Method](https://invisiblenetwork.ai/learn/nptel/111107106/bef697da3c8f) (Video)
57. [Rate of Convergence of Power Method](https://invisiblenetwork.ai/learn/nptel/111107106/6507f9b2d558) (Video)
58. [Applications of Power Method with Shift](https://invisiblenetwork.ai/learn/nptel/111107106/575a534491aa) (Video)
59. [Jacobi Method-I](https://invisiblenetwork.ai/learn/nptel/111107106/a9fe9381cd45) (Video)
60. [Jacobi Method-II](https://invisiblenetwork.ai/learn/nptel/111107106/b0b0d7af35ba) (Video)