Title  ΘΕΩΡΙΑ ΠΙΝΑΚΩΝ / Matrix Theory 
Code  0532 
Faculty  Sciences 
School  Mathematics 
Cycle / Level  1st / Undergraduate 
Teaching Period  Spring 
Coordinator  Georgios Tsaklidis 
Common  No 
Status  Active 
Course ID  40000366 
Programme of Study: UPS of School of Mathematics (2014today)
Registered students: 0
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Elective Courses belonging to the selected specialization  6  3  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
 eStudy 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, MoorePenrose 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
25092018