# Basic Linear Algebra

- Institution: IIT Bombay
- Department: Mathematics
- Teacher: Prof. I.K.Rana
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111101115)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111101115)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1 : Introduction I](https://invisiblenetwork.ai/learn/nptel/111101115/ac0c1b53a763) (Video)
2. [Lecture 2 : Introduction II](https://invisiblenetwork.ai/learn/nptel/111101115/df4550753938) (Video)
3. [Lecture 3 : Introduction III](https://invisiblenetwork.ai/learn/nptel/111101115/28279dc07ac5) (Video)
4. [Lecture 4 : Systems of Linear Equations I](https://invisiblenetwork.ai/learn/nptel/111101115/8da8c2f74350) (Video)
5. [Lecture 5 : Systems of Linear Equations II](https://invisiblenetwork.ai/learn/nptel/111101115/65122596ac2c) (Video)
6. [Lecture 6 : Systems of Linear Equations III](https://invisiblenetwork.ai/learn/nptel/111101115/071d672db49a) (Video)
7. [Lecture 7 : Reduced Row Echelon Form and Rank I](https://invisiblenetwork.ai/learn/nptel/111101115/fccb2da303a5) (Video)
8. [Lecture 8 : Reduced Row Echelon Form and Rank II](https://invisiblenetwork.ai/learn/nptel/111101115/416b1c935b50) (Video)
9. [Lecture 9 : Reduced Row Echelon Form and Rank III](https://invisiblenetwork.ai/learn/nptel/111101115/2e38bf425193) (Video)
10. [Lecture 10 : Solvability of a Linear System, Linear Span, Basis I](https://invisiblenetwork.ai/learn/nptel/111101115/865e3cdba70f) (Video)
11. [Lecture 11 : Solvability of a Linear System, Linear Span, Basis II](https://invisiblenetwork.ai/learn/nptel/111101115/488ff786d1a2) (Video)
12. [Lecture 12 : Solvability of a Linear System, Linear Span, Basis III](https://invisiblenetwork.ai/learn/nptel/111101115/8bf31bb19544) (Video)
13. [Lecture 13 : Linear Span, Linear Independence and Basis I](https://invisiblenetwork.ai/learn/nptel/111101115/f29f731bd030) (Video)
14. [Lecture 14 : Linear Span, Linear Independence and Basis II](https://invisiblenetwork.ai/learn/nptel/111101115/0c89d34cd662) (Video)
15. [Lecture 15 : Linear Span, Linear Independence and Basis III](https://invisiblenetwork.ai/learn/nptel/111101115/e61a7d495209) (Video)
16. [Lecture 16 : Row Space, Column Space, Rank-Nullity Theorem I](https://invisiblenetwork.ai/learn/nptel/111101115/1314bb7a6569) (Video)
17. [Lecture 17 : Row Space, Column Space, Rank-Nullity Theorem II](https://invisiblenetwork.ai/learn/nptel/111101115/ab25dad34692) (Video)
18. [Lecture 18 : Row Space, Column Space, Rank-Nullity Theorem III](https://invisiblenetwork.ai/learn/nptel/111101115/c53f48ad3fd4) (Video)
19. [Lecture 19 : Determinants and their Properties I](https://invisiblenetwork.ai/learn/nptel/111101115/c1a716515f64) (Video)
20. [Lecture 20 : Determinants and their Properties II](https://invisiblenetwork.ai/learn/nptel/111101115/a8b21b3e3d7a) (Video)
21. [Lecture 21 : Determinants and their Properties III](https://invisiblenetwork.ai/learn/nptel/111101115/edbbd0ef4047) (Video)
22. [Lecture 22 : Linear Transformations I](https://invisiblenetwork.ai/learn/nptel/111101115/a847a8a7287d) (Video)
23. [Lecture 23 : Linear Transformations II](https://invisiblenetwork.ai/learn/nptel/111101115/cefe2f334481) (Video)
24. [Lecture 24 : Linear Transformations III](https://invisiblenetwork.ai/learn/nptel/111101115/ab2900fbbab2) (Video)
25. [Lecture 25 : Orthonormal Basis, Geometry in R^2 I](https://invisiblenetwork.ai/learn/nptel/111101115/0f182bfdeec4) (Video)
26. [Lecture 26 : Orthonormal Basis, Geometry in R^2 II](https://invisiblenetwork.ai/learn/nptel/111101115/c582af08191f) (Video)
27. [Lecture 27 : Orthonormal Basis, Geometry in R^2 III](https://invisiblenetwork.ai/learn/nptel/111101115/d43c17bf2f68) (Video)
28. [Lecture 28 : Isometries, Eigenvalues and Eigenvectors I](https://invisiblenetwork.ai/learn/nptel/111101115/d4e50925b5a4) (Video)
29. [Lecture 29 : Isometries, Eigenvalues and Eigenvectors II](https://invisiblenetwork.ai/learn/nptel/111101115/24551888e355) (Video)
30. [Lecture 30 : Isometries, Eigenvalues and Eigenvectors III](https://invisiblenetwork.ai/learn/nptel/111101115/2a14237c825e) (Video)
31. [Lecture 31 : Diagonalization and Real Symmetric Matrices I](https://invisiblenetwork.ai/learn/nptel/111101115/9b16d4fb19d3) (Video)
32. [Lecture 32 : Diagonalization and Real Symmetric Matrices II](https://invisiblenetwork.ai/learn/nptel/111101115/66655f94fda7) (Video)
33. [Lecture 33 : Diagonalization and Real Symmetric Matrices III](https://invisiblenetwork.ai/learn/nptel/111101115/88c433e4b521) (Video)
34. [Lecture 34 : Diagonalization and its Applications I](https://invisiblenetwork.ai/learn/nptel/111101115/331b66a39622) (Video)
35. [Lecture 35 : Diagonalization and its Applications II](https://invisiblenetwork.ai/learn/nptel/111101115/71c5c99b12e5) (Video)
36. [Lecture 36 : Diagonalization and its Applications III](https://invisiblenetwork.ai/learn/nptel/111101115/4b4505c66ebf) (Video)
37. [Lecture 37 : Abstract Vector Spaces I](https://invisiblenetwork.ai/learn/nptel/111101115/1cabcc730c3b) (Video)
38. [Lecture 38 : Abstract Vector Spaces II](https://invisiblenetwork.ai/learn/nptel/111101115/3fa2069bcf15) (Video)
39. [Lecture 39 : Abstract Vector Spaces III](https://invisiblenetwork.ai/learn/nptel/111101115/5f4e116a22a6) (Video)
40. [Lecture 40 : Inner Product Spaces](https://invisiblenetwork.ai/learn/nptel/111101115/e7700c4a7498) (Video)
41. [Lecture 41 : Inner Product Spaces II](https://invisiblenetwork.ai/learn/nptel/111101115/bfc65e08d528) (Video)
42. [Live Session 08-04-2021](https://invisiblenetwork.ai/learn/nptel/111101115/ac0c1b53a763-2) (Video)