M003 Linear Algebra I

Faculty of Informatics
Autumn 1997
Extent and Intensity
2/2. 4 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. RNDr. Martin Čadek, CSc. (lecturer)
Pavol Zlatoš (lecturer)
Guaranteed by
Contact Person: doc. RNDr. Martin Čadek, CSc.
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.
Language of instruction
Czech
The course is also listed under the following terms Autumn 1995, Autumn 1996, Autumn 1998, Autumn 1999, Autumn 2000, Autumn 2001, Spring 2003.
  • Enrolment Statistics (Autumn 1997, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn1997/M003