SubjectsSubjects(version: 913)
Course, academic year 2022/2023
  
Linear algebra and matrices - B143009
Title: Lineární algebra a matice
Guaranteed by: Department of Informatics and Chemistry (143)
Faculty: Faculty of Chemical Technology
Actual: from 2022
Semester: winter
Points: winter s.:4
E-Credits: winter s.:4
Examination process: winter s.:
Hours per week, examination: winter s.:3/0, Ex [HT]
Capacity: unlimited / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type: Bachelor's
Guarantor: Lankaš Filip doc. Ing. Ph.D.
Annotation -
Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)
The course is an introduction to linear algebra and matrix theory. Theoretical explanations will be supplemented by practical examples illustrating the discussed notions and methods.
Aim of the course -
Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)

The students will acquire basic knowledge of linear algebra and matix theory.

Learning resources -
Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)

The main study materials are lecture presentations.

Syllabus -
Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)

1. Vector spaces, basis, dimension

2. Subspaces

3. Linear operators and matrices

4. Linear equations

5. Matrix inverse, change of basis

6. Determinant

7. Eigenvalues and eigenvectors

8. Inner product, orthogonality

9. Inner product and linear operators

10. Normal operators and matrices

11. Quadratic forms

12. Singular value decomposition

13. Applications in data analysis

14. Geometry in linear spaces

Registration requirements -
Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)

The main prerequisite for the course are any of the basic courses in mathematics at UCT, or equivalent knowledge.

Course completion requirements -
Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)

The course is completed by an oral exam. The necessary condition for the exam is active participation in the lectures.

 
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