Matrix Theory
| Title | ΘΕΩΡΙΑ ΠΙΝΑΚΩΝ / Matrix Theory |
| Code | 0532 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Georgios Tsaklidis |
| Common | Yes |
| Status | Active |
| Course ID | 40000366 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 253
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | Spring | - | 5.5 |
| Academic Year | 2019 – 2020 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600147676
|
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600147676
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Work autonomously
- Work in teams
- Work in an interdisciplinary team
- Generate new research ideas
- Advance free, creative and causative thinking
Course Content (Syllabus)
1. Introduction 2. Canonical Forms (Invariant polynomials, elementary divisors, Smith canonical form, first and second canonical form, Jordan canonical form, applications) 3. Matrix Functions (Interpolatory polynomials, matrix components, matrix sequences and series, relations between matrix functions, applications) 4. Matrix Norms 5. Generalized Inverses (Hermite canonical form, Moore-Penrose generalized inverse, solving linear systems using generalized inverses, best approximate solution, least square generalized inverse, applications)
Keywords
Canonical Forms, Matrix Functions, Matrix Norms, Generalized Inverses
Educational Material Types
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | 1.3 | |||
| Laboratory Work | 20 | 0.7 | |||
| Reading Assigment | 103 | 3.4 | |||
| Exams | 3 | 0.1 | |||
| Total | 165 | 5.5 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Εφαρμοσμένη Θεωρία Πινάκων, Π.-Χ. Βασιλείου, Γ. Τσακλίδης, Ζήτη, 2005.
Additional bibliography for study
2. The Theory of Matrices (P. Lancaster, M. Tismenetsky)
3. Matrix Analysis (R. Horn, C. Johnson)
4. Matrix Theory (F. Gantmacher)
Last Update
15-03-2020
