| Course title | Linear Algebra 1 |
|---|---|
| Course code | KAG/LA1M |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. Algebraic structures (groupoid, group, ring, intergral domain, skew field, field) 2. Matrices, basic operations, column space, row space of matrix, rang of matrix. 3. Determinant of matrix. 4. Regular matrix. 5. Vector space, linear independence of vectors, basis, dimension, subspaces of vector space. 6. Homomorphisms and isomorphisms of vector spaces. 7. Systems of linear equations, solvability, solving methods. 8. Euclidean vector spaces, orthogonality of subspaces, orthonormal basis. 9. Angle and distance in euclidean vector space, exterior product, orthogonal product. Application in geometry and theory of system of linear equations. 10. Automorphisms of vector spaces. Projection onto subspace.
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
| Prerequisites |
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unspecified
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| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Mathematics (2020) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |