# Linear Algebra

- Institution: Kerala School of Mathematics
- Department: Mathematics
- Teacher: Prof. Pranav Haridas
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106135)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106135)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Vector Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/81408d7d4759) (Video)
2. [Examples of Vector Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/44562c5a0039) (Video)
3. [Vector Subspaces](https://invisiblenetwork.ai/learn/nptel/111106135/0c43f17bd6ed) (Video)
4. [Linear Combinations and Span](https://invisiblenetwork.ai/learn/nptel/111106135/92bb085ef504) (Video)
5. [Linear Independence](https://invisiblenetwork.ai/learn/nptel/111106135/98ea25d5dd60) (Video)
6. [Basis](https://invisiblenetwork.ai/learn/nptel/111106135/c17e26e937c6) (Video)
7. [Dimension](https://invisiblenetwork.ai/learn/nptel/111106135/d3265289de47) (Video)
8. [Replacement theorem consequences](https://invisiblenetwork.ai/learn/nptel/111106135/36dedde4f189) (Video)
9. [Rank Nullity](https://invisiblenetwork.ai/learn/nptel/111106135/5453598d0a21) (Video)
10. [Linear Transformations](https://invisiblenetwork.ai/learn/nptel/111106135/38da6f933c08) (Video)
11. [Linear Transformation Basis](https://invisiblenetwork.ai/learn/nptel/111106135/207b4015de81) (Video)
12. [Linear Transformation and Matrices](https://invisiblenetwork.ai/learn/nptel/111106135/9b57185b97d6) (Video)
13. [Problem session](https://invisiblenetwork.ai/learn/nptel/111106135/73d9fa42e196) (Video)
14. [Linear Transformation and Matrices continued](https://invisiblenetwork.ai/learn/nptel/111106135/2b10e55f373f) (Video)
15. [Invertible Linear Transformations](https://invisiblenetwork.ai/learn/nptel/111106135/c7c0638e1518) (Video)
16. [Invertible Linear Transformations and Matrices](https://invisiblenetwork.ai/learn/nptel/111106135/f7670cd2d0bd) (Video)
17. [Change of Basis](https://invisiblenetwork.ai/learn/nptel/111106135/1a79c814bce5) (Video)
18. [Product of Vector Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/42de652f4ec4) (Video)
19. [Quotient Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/28fd91ce976e) (Video)
20. [Dual Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/d8d555c6fe36) (Video)
21. [Row operations](https://invisiblenetwork.ai/learn/nptel/111106135/e8da29ad169d) (Video)
22. [Rank of a Matrix](https://invisiblenetwork.ai/learn/nptel/111106135/be5f99cfaa2a) (Video)
23. [Inverting matrices](https://invisiblenetwork.ai/learn/nptel/111106135/0e0c710bf067) (Video)
24. [Determinants](https://invisiblenetwork.ai/learn/nptel/111106135/147f513aeac8) (Video)
25. [Problem Session](https://invisiblenetwork.ai/learn/nptel/111106135/62d5f185e1da) (Video)
26. [Diagonal Matrices](https://invisiblenetwork.ai/learn/nptel/111106135/827b60903f18) (Video)
27. [Eigenvectors and eigenvalues](https://invisiblenetwork.ai/learn/nptel/111106135/29f85c489a89) (Video)
28. [Computing eigenvalues](https://invisiblenetwork.ai/learn/nptel/111106135/9930ad5b255b) (Video)
29. [Characteristic ploynomia](https://invisiblenetwork.ai/learn/nptel/111106135/fbc55a5cfd07) (Video)
30. [Diagonalizibility](https://invisiblenetwork.ai/learn/nptel/111106135/d3bcd91a9993) (Video)
31. [Multiplicity of eigenvalues](https://invisiblenetwork.ai/learn/nptel/111106135/04d5bb06eff0) (Video)
32. [Invariant subspaces](https://invisiblenetwork.ai/learn/nptel/111106135/b5e30fa10bc3) (Video)
33. [Complex Vector Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/73ce3eef1d72) (Video)
34. [Inner Product Spaces](https://invisiblenetwork.ai/learn/nptel/111106135/04a9cd2da826) (Video)
35. [Inner Product and Length](https://invisiblenetwork.ai/learn/nptel/111106135/95d4061c3a57) (Video)
36. [Orthogonality](https://invisiblenetwork.ai/learn/nptel/111106135/b2cbc16271f5) (Video)
37. [Problem Session](https://invisiblenetwork.ai/learn/nptel/111106135/e7bf74146a5f) (Video)
38. [Problem Session](https://invisiblenetwork.ai/learn/nptel/111106135/375e96aae1dd) (Video)
39. [Orthonormal Basis](https://invisiblenetwork.ai/learn/nptel/111106135/0e12da0ded49) (Video)
40. [Gram Schmidt Orthogonalization](https://invisiblenetwork.ai/learn/nptel/111106135/02abba8ea0cf) (Video)
41. [Orthogonal Complements](https://invisiblenetwork.ai/learn/nptel/111106135/2087fbe98e75) (Video)
42. [Problem Session](https://invisiblenetwork.ai/learn/nptel/111106135/7332424495d8) (Video)
43. [Riesz Representation Theorem](https://invisiblenetwork.ai/learn/nptel/111106135/18eabd31efaf) (Video)
44. [Adjoint of a linear transformation](https://invisiblenetwork.ai/learn/nptel/111106135/900911dcb754) (Video)
45. [Properties of the adjoint](https://invisiblenetwork.ai/learn/nptel/111106135/3d307d4bb4f4) (Video)
46. [Problem Session](https://invisiblenetwork.ai/learn/nptel/111106135/8f69b5e0677b) (Video)
47. [Normal Operators](https://invisiblenetwork.ai/learn/nptel/111106135/6823482fbaa4) (Video)
48. [Self Adjoint Operators](https://invisiblenetwork.ai/learn/nptel/111106135/57023a4bf395) (Video)
49. [Spectral Theorem](https://invisiblenetwork.ai/learn/nptel/111106135/008a3fe0ae54) (Video)