MU:MU10832 Algebra II - Exercises - Course Information

MU10832 Algebra II - Exercises

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

Jan Tesarčík (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava

Timetable of Seminar Groups

MU10832/01: Thu 8:05–9:40 R1, J. Tesarčík

Prerequisites (in Czech)

! MU01806 Algebra II - Exercises && ! MU01906 Algebra II - Exercises && ! MU10932 Algebra II - Exercises && !NOWANY( MU01806 Algebra II - Exercises , MU01906 Algebra II - Exercises , MU10932 Algebra II - Exercises )

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Computer Science and Technology (programme FPF, B1801 Inf)

Course objectives

The course serves for the practical exercises in knowledges obtained in the course of Algebra II.

Syllabus

• 1. Vector spaces
  2. Vector subspaces
  3. Liner maps
  4. Matrix of a linear map
  5. Eigenvectors
  6. Scalar product
  7. Bilinear and quadratic forms
  8. First decomposition of a linear transformation
  9. Second decomposition of a linear transformation
  10. Tensors

Literature

recommended literature
• M. Marvan. Algebra I. MÚ SU, Opava, 1999. URL info
• M. Marvan. Algebra II. MÚ SU,, Opava, 1999. URL info
• J. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989. info
• J. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968. info
• A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968. info

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
The course can also be completed outside the examination period.

Teacher's information

A successful consultation of all themes.

• Enrolment Statistics (recent)
  
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