Linear Algebra (V-U)

• 1. Introduction (V-U)
• 2. Introduction to Matrices. (V-U)
• 3. System Of Linear Equations. (V-U)
• 4. Row reduction and Echelon Form of a Matrix. (V-U)
• 5. Vector Equations. (V-U)
• 6. Matrix Equations. (V-U)
• 7. Solution Set of Linear Equations. (V-U)
• 8. Linearly Dependent and Linearly Independent Sets. (V-U)
• 9. Linear Transformations. (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)
• 16. Iterative Solution of Linear Systems. (V-U)
• 17. Introduction to Determinants. (V-U)
• 18. Properties of Determinants. (V-U)
• 19. Cramer’s rule, Volume and Linear Transformations. (V-U)
• 20. Vector Spaces. (V-U)
• 22. Bases for a vector Space. (V-U)
• 23. Coordinate systems. (V-U)
• 24. Dimension of a Vector Space. (V-U)
• 25. The Rank Theorem and Invertible Matrix Theorem. (V-U)
• 26. Change of Bases of a Vector Space. (V-U)