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Lecturer(s)
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Koudela Libor, Mgr. Ph.D.
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Course content
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Linear space. Linear dependence and independence of vectors, base and dimension of a vector space. Matrices and basic operations with matrices. Rank of a matrix. Determinant of a matrix. Basic features of determinants and methods of their calculations. Regular and singular matrices, inverse matrices. Solving of systems of linear equations, Frobenius´ theorem. Gaussian elimination method, Jordan method, Cramer theorem. Isomorphism of vector spaces, coordinates of a vector with respect to the base, transformation of vector coordinates.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Methods of individual activities
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Learning outcomes
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Student will be conversant with principles of linear algebra.
Student will be able to apply knowledge of vector and matrix calculus in consequential subjects after graduation of this course.
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Prerequisites
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Supposes knowledge of mathematics at secondary school level.
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Assessment methods and criteria
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Didactic test
Assignment - written test with at least 50% of correct answers.
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Recommended literature
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Abadir, K.M., Magnus, J.,R. Matrix Algebra. Cambridge, 2005.
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CABRNOCHOVÁ, R.; PRACHAŘ, O. Průvodce předmětem Matematika I (třetí část). Úlohy z lineární algebry, analytické geometrie a z nekonečných řad.. Pardubice: Univerzita Pardubice, 2004.
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Coufal,J. a kol. Učebnice matematiky pro ekonomické fakulty. Victoria Publishing, Praha 1996.. 1996.
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Freidberg,S.H. a kol. Linear algebra. Prentice Hall 2003..
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Kolda S. - Černá, M. Matematika. Úvod do lineární algebry a analytické geometrie.. Pardubice, 2005.
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Rachůnek, J. Algebra a teoretická aritmetika I. Olomouc: UP, 1992.
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