MU10932 Algebra II - Exercises

Mathematical Institute in Opava
Summer 2021
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
MU10932/01: Thu 8:05–9:40 R1, J. Tesarčík
Prerequisites (in Czech)
! MU01806 Algebra II - Exercises && ! MU01906 Algebra II - Exercises && ! MU10832 Algebra II - Exercises && !NOWANY( MU01806 Algebra II - Exercises , MU01906 Algebra II - Exercises , MU10832 Algebra II - Exercises ) && TYP_STUDIA(B)
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
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.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2021/MU10932