# 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: 312
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationSpring-5.5

 Academic Year 2021 – 2022 Class Period Spring Faculty Instructors Georgios Tsaklidis 39hrs Weekly Hours 3 Class ID 600187073
Mode of Delivery
• Face to face
Digital Course Content
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
Lectures391.3
Laboratory Work200.7
Exams30.1
Total1655.5
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.