Linear Algebra

  0. The Importance of Linear Algebra [Video] [Slides]

1. Chapter 1: Introduction to the System of Linear Equations [Video] [Slides]

2. Chapter 1: Reduced Row Echelon Form [Video] [Slides]

3. Chapter 1: Solving System of Linear Equations using RREF [Video] [Slides]

4. Chapter 1: Rank of a Matrix [Video] [Slides]

5. Chapter 1: Inverse of a Matrix using RREF [Video] [Slides]

6. Chapter 2:  Introduction to Vector Spaces [Video] [Slides]

7. Chapter 2:  Vector Spaces Examples [Video] [Slides]

8. Chapter 2:  Vector Spaces Related Results [Video] [Slides]

9. Chapter 2:  Introduction to Subspaces [Video] [Slides]

10. Chapter 2:  Subspaces Relates Results [Video] [Slides]

11. Chapter 3:  Introduction to Linear Independence [Video] [Slides]

12. Chapter 3: Results related to Linear Independence [Video] [Slides]

13. Chapter 3: Linear Span [Video] [Slides]

14. Chapter 3: Basis of a Vector Space [Video] [Slides]

15. Chapter 3: Dimension of a Vector Space [Video] [Slides]

16. Chapter 3: Results Related to Basis and Dimension [Video] [Slides]

17. Chapter 3: More Results Related to Basis and Dimension [Video] [Slides]

18. Chapter 3: Subspaces associated with Matrices [Video] [Slides]

19. Chapter 3: Rank and Nullity of a Matrix [Video] [Slides]

20. Chapter 4: Matrix Transformation [Video] [Slides]

21. Chapter 4: Introduction to Linear Transformation [Video] [Slides]

22. Chapter 4: Kernel and Range Linear Transformation [Video] [Slides]

23. Chapter 4: One-to-One and Onto Linear Transformation [Video] [Slides]

24. Chapter 4: Inverse of Linear Transformation [Video] [Slides]

25. Chapter 5: Change of Basis [Video] [Slides]

26. Chapter 5: Matrix for Linear Transformation [Video] [Slides]

27. Chapter 6: Eigenvalues and Eigenvectors [Video] [Slides]