Linear Algebra 1
Code  Completion  Credits  Range  Language 

818LI1  Z  2  2+2  Czech 
 Lecturer:
 Dana Majerová (guarantor)
 Tutor:
 Dana Majerová (guarantor)
 Supervisor:
 Department of Software Engineering
 Synopsis:

Vector space R^n, linear independence, subspaces, base, dimension, coordinates. Linear mapping, kernel, rank, defect. Matrix, matrix of linear mapping. System of linear equations, Gaussian elimination.
 Requirements:
 Syllabus of lectures:

1. vector space R^n
2. linear dependence, linear independence
3. vektor subspaces
4. base and dimension
5. intersection and sum of subspaces
6. coordinates in given base
7. linear mapping
8. sum and multiple of linear mappings
9. matrix of mapping, matrix rank, regular matrix, inverse matrix
10. system of linear equations
11. Gaussian elimination, row operations
12. solution of system of linear equations
13. inverse matrix calcuation
 Syllabus of tutorials:

1. vector space R^n
2. linear dependence, linear independence
3. vektor subspaces
4. base and dimension
5. intersection and sum of subspaces
6. coordinates in given base
7. linear mapping
8. sum and multiple of linear mappings
9. matrix of mapping, matrix rank, regular matrix, inverse matrix
10. system of linear equations
11. Gaussian elimination, row operations
12. solution of system of linear equations
13. inverse matrix calcuation
 Study Objective:

Knowledge of basic terms of linear algebra.
Ability to prove mathematical theorems and solve problems of linear algebra, especially the system of linear equations.
 Study materials:

Key references:
[1] Dontová, E. Matematika III. Praha: ČVUT, 1999.
[2] Čížková, L. Sbírka příkladů z matematiky I. Praha: ČVUT, 1999.
[3] Study materials and tasks in the MOODLE system (http://moodle.jadernaci.eu).
Recommended references:
[4] Pytlíček, J. Cvičení z algebry a geometrie. Praha: ČVUT, 1997.
 Note:
 Timetable for winter semester 2020/2021:
 Timetable is not available yet
 Timetable for summer semester 2020/2021:
 Timetable is not available yet
 The course is a part of the following study plans: