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Linear Algebra 2 - NMAG112

Title:	Lineární algebra 2
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2025
Semester:	summer
E-Credits:	10
Hours per week, examination:	summer s.:4/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Additional information:	https://www2.karlin.mff.cuni.cz/~barto/LA2425leto.html

Guarantor:	doc. RNDr. David Stanovský, Ph.D.
Teacher(s):	Bc. Jakub Černý Mgr. Filip Fryš RNDr. Jaroslav Hron, Ph.D. Mgr. Maryia Kapytka Mgr. Jakub Knesel Mgr. Radek Olšák RNDr. Alexander Slávik, Ph.D. doc. RNDr. David Stanovský, Ph.D. Bc. Martina Tarageľová
Class:	M Bc. MMIT M Bc. MMIT > Povinné M Bc. OM M Bc. OM > Povinné M Bc. OM > 1. ročník
Classification:	Mathematics > Algebra
Co-requisite :	NMAG111
Incompatibility :	NALG002, NMAG102, NMAG114
Interchangeability :	NALG002, NMAG102
Is incompatible with:	NMAG114, NMAG102
Is interchangeable with:	NMAG114, NMAG102
In complex pre-requisite:	NMAG201, NMAG202, NMAG206, NMAG211, NMFM202, NMNM331, NMSA336

Annotation -

The second introductory lecture in linear algebra for General Mathematics, and Information Security

Last update: Omelka Marek, doc. Ing., Ph.D. (30.05.2023)

Course completion requirements -

Last update: Barto Libor, prof. Mgr., Ph.D. (12.02.2025)

Literature -

C.D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM 2000.

T.S. Blyth, E.F. Robertson, Basic Linear Algebra, Springer Verlag London,2002,

S.H. Friedberg, A.J. Insel, L.E.Spence, Linear Algebra, Third Edition, Prentice-Hall, Inc., 1997

L. Barto, J. Tůma, Lineární algebra a geometrie, elektronická skripta

Last update: Barto Libor, prof. Mgr., Ph.D. (12.02.2025)

Requirements to the exam -

Last update: Barto Libor, prof. Mgr., Ph.D. (12.02.2025)

Syllabus -

standard and abstract scalar product, orthogonal basis, Gram-Schmidt orthogonalization,

orthogonal and unitary mappings and matrices, rotations (especially in 3D), group properties,

unitary and orthogonal diagonalization, spectral theorems, singular value decomposition,

Last update: Barto Libor, prof. Mgr., Ph.D. (12.02.2025)