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Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)
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Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)
The students will acquire basic knowledge of linear algebra and matix theory. |
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Last update: Lankaš Filip doc. Ing. Ph.D. (20.05.2022)
The main study materials are lecture presentations. |
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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 |
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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. |
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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. |