Linear Algebra (V-U)

1. Introduction (V-U)

10. The Matrix of Linear Transformations. (V-U)

11. Matrix Algebra. (V-U)

12. Inverse of a Matrix. (V-U)

13. Characterisation of Invertible Matrices. (V-U)

14. Partitioning of a Matrix. (V-U)

15. Matrix Factorization. (V-U)

32. Complex Eigenvalues and Vectors. (V-U)

16. Iterative Solution of Linear Systems. (V-U)

33. Discrete Dynamical Systems. (V-U)

17. Introduction to Determinants. (V-U)

34. Applications to Differential Equations. (V-U)

18. Properties of Determinants. (V-U)

35. Iterative Estimates for Eigenvalues. (V-U)

19. Cramer’s rule, Volume and Linear Transformations. (V-U)

36. Revision (V-U)

2. Introduction to Matrices. (V-U)

37. Revision ( system of Linear Equations). (V-U)

20. Vector Spaces. (V-U)

38. Inner Product and orthogonal vectors. (V-U)

21. Null Spaces,Column Spaces and Linear Transformations. (V-U)

39. Orthogonal Sets. (V-U)

22. Bases for a vector Space. (V-U)

4. Row reduction and Echelon Form of a Matrix. (V-U)

23. Coordinate systems. (V-U)