Course: Selected Problems of Matrix Theory

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Course title Selected Problems of Matrix Theory
Course code KMA/PTM
Organizational form of instruction Lecture + Tutorial
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Hofman Martin, RNDr. Mgr. Ph.D.
Course content
1. Some basic definitions 2. Matrices and systems of linear algebraic equations 3. Spectral properties of square matrices 4. Characterization of some subsets of the set of square matrices C^{n,n} 5. Decompositions of matrices 6. Funcitons of a square matrix 7. Generalized inverses 8. Matrix equations 9. Matrices and graphs 10.Non-negative square matrices

Learning activities and teaching methods
Interactive lecture, One-to-One tutorial, Individual study, Students' self-study, Self-study of literature
  • Contact hours - 39 hours per semester
  • Individual project (40) - 50 hours per semester
  • Presentation preparation (report) (1-10) - 15 hours per semester
prerequisite
Knowledge
Knowledge of the course KMA/LA.
learning outcomes
Students will be able to understand properties and conventions between different fields of linear algebra.
teaching methods
Interactive lecture
Self-study of literature
Individual study
One-to-One tutorial
assessment methods
Oral exam
Seminar work
Individual presentation at a seminar
Recommended literature
  • Fiedler, Miroslav. Speciální matice a jejich použití v numerické matematice. Vyd. 1. Praha : SNTL, 1981.
  • Holenda, Jiří. Vybrané problémy teorie matic (připravované texty).


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester