Matrix theory outline in EnglishSyllabus for Matrix Theory 1 Information Course codeG071555 Course nameMatrix Theory Credit hours 523 Semester Autumn Category Master Degree Course Department Mathemati

ular value decomposition, and be able to apply them to real-world problems. Specifically, students will be able to:

1. Understand the basic concepts of matrix theory and linear algebra
2. Analyze linear transformations and their properties
3. Understand the concepts of eigenvalues and eigenvectors
4. Analyze and compute singular values and their properties
5. Understand the concepts of matrix factorization and their applications
6. Analyze functions of matrices and calculus
7. Understand the concept of generalized inverses and their applications
8. Apply matrix theory to real-world problems in diverse fields such as engineering, physics, statistics, econometrics, and data mining

Course Outline

Week 1: Review of linear algebra Week 2: Linear transformations and matrices Week 3: Eigenvalues and eigenvectors Week 4: Singular value decomposition Week 5: Matrix factorizations Week 6: Function of matrices and calculus Week 7: Generalized inverses Week 8: Applications of matrix theory

Assessment

Assessment will be based on assignments, quizzes, mid-term and final exams, and a final project. The final project will involve applying matrix theory to a real-world problem in a field of the student's choice.

References

1. Golub, G. H., & Van Loan, C. F. (2012). Matrix computations. JHU Press.
2. Horn, R. A., & Johnson, C. R. (2012). Matrix analysis. Cambridge University Press.
3. Meyer, C. D. (2000). Matrix analysis and applied linear algebra. SIAM.
4. Strang, G. (2006). Linear algebra and its applications. Cengage Learning