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Course, academic year 2017/2018
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Linear Algebra II - NMAI058
Czech title: Lineární algebra II
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017 to 2017
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: Mgr. Pavel Hubáček, Ph.D.
RNDr. Ondřej Pangrác, Ph.D.
Mgr. Jan Hubička, Ph.D.
Class: Informatika Bc.
Classification: Mathematics > Algebra
Annotation -
Last update: FIALA/MFF.CUNI.CZ (17.02.2010)

Continuation of MAI057 - special matrices, determinants, eigenvalues, examples of applications of linear algebra.
Course completion requirements -
Last update: Mgr. Jan Hubička, Ph.D. (28.02.2018)

For passing the class you should obtain at least 70% of total marks from the tests given during the semester and a practical programming homework. Students can obtain addidional marks by homework (the amount of homework depends on missing marks). Homework will be given at the end of the semester if someone needs it.

Literature -
Last update: doc. Mgr. Milan Hladík, Ph.D. (22.11.2012)

W. Gareth. Linear Algebra with Applications. Jones and Bartlett Publishers, Boston, 4th edition, 2001.

C. D. Meyer. Matrix analysis and applied linear algebra. SIAM, Philadelphia, PA, 2000. http://www.matrixanalysis.com/DownloadChapters.html

G. Strang. Linear algebra and its applications. Thomson, USA, 4rd edition, 2006.

Requirements to the exam -
Last update: Mgr. Jan Hubička, Ph.D. (28.02.2018)

There will an examination consisting of a written and oral part.

The written part involves several exercises. The oral part involves discussion of solutions to the set problems and additional questions on topics covered in lectures and classes.

Class credits ("zapocet") are prerequisite for taking the examination

Syllabus -
Last update: doc. Mgr. Milan Hladík, Ph.D. (17.04.2012)

Inner product spaces. Orthogonal (unitary) matrices. Determinants. Positive definite and positive semidefinite matrices. Eigenvalues and eigenvectors, particularly for symmetric matrices. Applications of linear algebra.

 
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