1. Introduction of the course and Linear System.

2. Types of solution

3. Gaussian and Gauss Jorden Elimination

4. Gauss Jorden Elimination Examples

5. Homogeneous equations

6. Elementary Matrices and introduction to Determinants

7. Determinants continued

8. Determinant Example

9. Determinant by row operations

10. Properties of determinants

11. Inverses

12. Matrix Inverse Method

13. Crammer's Rule

14. Euclidean vector spaces

15. Euclidean Vector Spaces Continued

16. Vectors in Matrices

17. Paper Questions

18. Ordinary Differential Equations

19. Seperable and non seperable differential Equations

20. Paper Questions

21. vector spaces

22. Subspaces 2

23. Basis and Dimensions

24. Null Spaces, Rank and Nullity

25. Transformations

26. Transfornation Question

27. Eigen values (Distinct and Repeated)

28. Complex Eigen values and Digonalization

29. Practice Questioon

1. Past Paper Questions

2. Past PaperQuestions continued

3. Paper Questions