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Main menu for Browse IS/STAG
Course info
KMF / ZNMAE
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Course description
Department/Unit / Abbreviation
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KMF
/
ZNMAE
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Academic Year
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2019/2020
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Academic Year
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2019/2020
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Title
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Matrix Algebra
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Form of course completion
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Examination
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Form of course completion
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Examination
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[HRS/WEEK]
Tutorial
2
[HRS/WEEK]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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English
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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No
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Semester taught
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Winter + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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not determined
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
A|B|C|D|E|F |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
A|B|C|D|E|F |
Evaluation scale for credit before examination |
S|N |
Substituted course
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KMF/INMAE
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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To afford students more remarkable knowledge on vector spaces, matrix theory and their use in practices.
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Requirements on student
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Credit requirements: active participation in seminars with at most three hours absent, and at least 50% success in written test.
The course is completed by an oral exam; student should demonstrate an active knowledge of predefined topics.
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Content
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Euclidean vector spaces: orthogonalization, orthogonal and unitary matrices, orthogonal projection, decompositions of matrices and their applications.
Linear mappings of vector spaces: matrix of linear mapping, automorphisms, projections, orthogonal mappings, quotient vector spaces.
Linear operators: similar matrices, minimal and characteristic polynomial, polynomial matrices, Cayley-Hamilton theorem, invariant subspaces, eigen-subspaces, canonical Jordan form and its applications.
Bilinear and quadratic forms.
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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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Recommended:
Halmos, P. R. Finite-dimensional vector spaces. New York, 1958.
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Recommended:
Friedberg,S.H., Insel,A.J.,Spence,L.E. Linear Algebra. Prentice Hall, 2003.
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Recommended:
Nicholson, K.W. Linear algebra with aplications. Washington, 1990.
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Recommended:
Gelfand, I. M. Lineární algebra. Praha, 1953.
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Recommended:
Abadir, K.M., Magnus, J.,R. Matrix Algebra. Cambridge, 2005.
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Recommended:
Meyer, C. D. Matrix Analysis and Applied Linear Algebra. SIAM, 2001.
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Prerequisites - other information about course preconditions |
Prerequisite for successful mastering of this subject is knowledge of linear algebra within the range the basic course of mathematics. |
Competences acquired |
Students will obtain survey of the linear algebra which unable them to home study new trends in their professional field in future.
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Teaching methods |
- Monologic (reading, lecture, briefing)
- Methods of individual activities
- Skills training
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Assessment methods |
- Written examination
- Discussion
- Systematic monitoring
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