| S.N |
Topic |
Notes |
External References |
| 1. |
Introduction |
Notes |
- -
|
| 2. |
Fields |
Notes |
- Heffman, Linear Algebra - Chapter 1
- Dongryul Kim, Linear Algebra - Chapter 2
|
| 3. |
Vector space |
Notes |
- Friedberg and Spence, Linear Algebra - Chapter 1
|
| 4. |
Fundamentals of Linear Algebra |
Notes |
- Friedberg and Spence, Linear Algebra - Chapter 1
|
| 5. |
Fundamental Subspaces |
- Notes
- Notes
|
- Gilbert_Strang_Linear_Algebra_and_Its_Application- Chapter 2(section 2.4)
|
| 6. |
Rank of a Matrix: Properties |
Notes |
- Gilbert_Strang_Introduction_to_Linear_Algebra_5th_edition- Chapter 3(section 3.5)
|
| 7. |
Inner Product |
- Notes
- Notes
|
- Friedberg and Spence, Linear Algebra - Chapter 6
|
| 8. |
Gram-Schmidt algorithm |
Notes |
- Friedberg and Spence, Linear Algebra - Chapter 1
|
| 9. |
Cholesky Decomposition |
-
Notes
-
Notes
-
Notes
|
- David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
|
| 10. |
LU Decomposition |
-
Notes
-
Notes
-
Notes
|
- David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
|
| 11. |
LDV Decomposition |
-
Notes
|
- David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
|
| 12. |
Partial Pivoting |
-
Notes
-
Notes
|
- David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
|