Course objectives:
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The subject is dedicated to the study linear algebra. Students will study: Matrices and linear mapping. Decomposition of linear spaces C(m,n), C(n,m), given by a matrix of the type m/n, centralized inverses, equations of matrices, spectral properties of square matrices.
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Requirements on student
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Oral examination only. The student is assigned one topic from the list in the course overview.
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Content
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1. Some basic definitions
2. Matrices and systems of linear algebraic equations
3. Spectral properties of square matrices
4. Characterization of some subsets of the set of square matrices C^{n,n}
5. Decompositions of matrices
6. Funcitons of a square matrix
7. Generalized inverses
8. Matrix equations
9. Matrices and graphs
10.Non-negative square matrices
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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39
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Presentation preparation (report) (1-10)
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15
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Individual project (40)
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50
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Total
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104
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
Knowledge of the course KMA/LA. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Students will be able to understand properties and conventions between different fields of linear algebra. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Oral exam |
Seminar work |
Individual presentation at a seminar |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Self-study of literature |
Individual study |
One-to-One tutorial |
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