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CS411 Visual Programming
CS602 Computer Graphics
CS604 Operating Systems
CS606 Compiler Construction
MTH501 Linear Algebra
MTH501 Linear Algebra
01. Introduction and Overview
02. Introduction to Matrices
03. System of Linear Equations
04. Row Reduction and Echelon Forms
05. Vector Equations
06. Matrix Equations
07. Solution Sets of Linear Systems
08. Linear Independence
09. Linear Transformations
10. The Matrix of a Linear Transformation
11. Matrix Operations
12. The Inverse of a Matrix
13. Characterizations of Invertible Matrices
14. Partitioned Matrices
15. Matrix Factorizations
16. Iterative Solutions of Linear Systems
17. Introduction to Determinant
18. Properties of Determinant
19. Cramer’s Rule, Volume, and Linear Transformations
20. Vector Spaces and Subspaces
21. Null Spaces, Column Spaces, and Linear Transformations
22. Linearly Independent Sets - Bases
23. Coordinate System
Dimension of a Vector Space
25. Rank
26. Change of Basis
27. Applications to Difference Equations
28. Eigenvalues and Eigenvectors
29. The Characteristic Equation
30. Diagonalization
31. Eigen Vectors And Linear Transformations
32. Eigenvalues and Eigenvectors
Discrete Dynamical Systems
34. Applications to Differential Equations
Iterative Estimates for Eigenvalues
36. Revision
36. Revision
Table of contents
References
37. Revision
38. Inner Product
39. Orthogonal and Orthonormal Sets
40. Orthogonal Decomposition
41. Orthogonal Basis, Gram-schmidt Process, Orthonormal Basis
42. Least Square Solution
43. Inner Product Space
44. Application of Inner Product Spaces
45. Revision
Table of contents
References
36. Revision
Dated: 18-06-2025
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