Satya Mandal

Lessons

1. Section 1.1: Introduction to linear Equations
   
2. Section 1.2: Gaussian Elimination
   
3. Section 1.3: Application of Linear systems
   
   
4. Section 2.1:Operations with Matrices
5. Section 2.2: Properties of Matrices
6. Section 2.3:The Inverse of Matrices
7. Section 2.4:Elementary Matrices



8. Section 3.1: Determinant
9. Section 3.2: Evaluation of Determinant, with Elementary Operations
10. Section 3.3: Properties of Determianants
11. Section 3.4: Applications
12. Section 3.5: Rank of a Matrix



13. Section 4.1: Vectors in n-spaces
14. Section 4.2: Vector Spaces
15. Section 4.3: Subspaces of a Vector Space
16. Section 4.4:Spanning and Independence
17. Section 4.5: Basis and Dimension
18. Section 4.6: Rank of a Matrix II



19. Section 5.1:Eigenvalues and Eigenvectors
20. Section 5.2: Diagonalization



21. Section 6.1: Length and Dot Product
22. Section 6.2: Inner Product Spaces
23. Section 6.3: Orthonormal Basis



24. Section 7.1:Linear Transformation: Definitions and Introduction
25. Section 7.2:Properties of Linear Transformations



26. Chapter 8: Heads Up on Advanced Linear Algebra, optional