M503 Linear Algebra and Geometry I

Faculty of Informatics
Autumn 2001
Extent and Intensity
3/2. 5 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
Mgr. Michal Bulant, Ph.D. (lecturer)
doc. RNDr. Martin Čadek, CSc. (lecturer)
prof. RNDr. Jan Paseka, CSc. (lecturer)
Guaranteed by
doc. RNDr. Jiří Kaďourek, CSc.
Departments – Faculty of Science
Contact Person: doc. RNDr. Martin Čadek, CSc.
Timetable of Seminar Groups
M503/P1: Tue 9:00–11:50 UKP
M503/P2: Thu 9:20–11:50 UKP
M503/P3: Thu 17:00–19:50 D2
Prerequisites (in Czech)
NOW( M503c Linear Algebra and Geometry I - seminar ) && (! M003 Linear Algebra and Geometry I )&&(!NOW( M003 Linear Algebra and Geometry I ))
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
Syllabus
  • Scalars, vectors and matrices: Properties of real and complex numbers, vector spaces and their examples, $R^n$ and $C^n$, multiplication of matrices, systems of linear eguations, Gauss elimination, computation of inverse matrices.
  • Vector spaces - basic notions: Linear combinations, linear independence, basis, dimension, vector subspaces, intersections and sums of subspaces, coordinates.
  • Linear mappings: Definition, kernel and image, linear isomorphism, matrix of linear mapping in given bases, transformation of coordinates.
  • Systems of linear equations: Properties of sets of solutions, rank a matrix, existence of solutions.
  • Determinants: Permutations, definition and basic properties of determinants, computation of inverse matrices, application to systems of linear equations.
  • Affine subspaces in $R^n$: Definition, parametric and implicit description, affine mapping.
Literature
  • Zlatoš, Pavol. Lineárna algebra a geometria. Předběžné učební texty MFF UK v Bratislavě.
  • Slovák, Jan. Lineární algebra. Učební texty. Brno:~Masarykova univerzita,1998. 138. elektronicky dostupné na http://www.math.muni.cz/~slovak.
Assessment methods (in Czech)
Bude vyžadováno početní zvládnutí přednesené látky.
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course is taught annually.
Teacher's information
http://www. math.muni.cz/~cadek
The course is also listed under the following terms Autumn 1999, Autumn 2000.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2001/M503