Virtual University

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)

40. Orthogonal Projections. (V-U)

24. Dimension of a Vector Space. (V-U)

41. Gram-Schmidt Process (V-U)

25. The Rank Theorem and Invertible Matrix Theorem. (V-U)

42. Least Squares Problems (V-U)

26. Change of Bases of a Vector Space. (V-U)

43. Inner Product Spaces (V-U)

27. Applications of vector spaces to Difference Equations. (V-U)

44. Applications of Inner Product Spaces (V-U)

28. Eigenvalues of a Matrix. (V-U)

45. Revision of the Course and Vector Spaces (V-U)

29. Characteristic Equation of a Matrix. (V-U)

5. Vector Equations. (V-U)

3. System Of Linear Equations. (V-U)

6. Matrix Equations. (V-U)

30. Diagonalization of a Matrix. (V-U)

7. Solution Set of Linear Equations. (V-U)

31. Eigen Vectors of linear Transformation. (V-U)

8. Linearly Dependent and Linearly Independent Sets. (V-U)