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Linear Algebra and Geometry 1 - NMAG101

Title:	Lineární algebra a geometrie 1
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2016
Semester:	winter
E-Credits:	8
Hours per week, examination:	winter 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
Teaching methods:	full-time
Additional information:	http://www.karlin.mff.cuni.cz/~sir/la/ZS15-16.html

Guarantor:	doc. Mgr. Libor Barto, Ph.D. Mgr. Dalibor Šmíd, Ph.D.
Class:	M Bc. FM M Bc. FM > Povinné M Bc. FM > 1. ročník M Bc. MMIB M Bc. MMIB > Povinné M Bc. MMIB > 1. ročník M Bc. MMIT M Bc. MMIT > Povinné M Bc. OM M Bc. OM > Povinné M Bc. OM > 1. ročník
Classification:	Mathematics > Algebra
Incompatibility :	NALG001
Interchangeability :	NALG001
Is co-requisite for:	NMAG102
Is pre-requisite for:	NMNM331
Is interchangeable with:	NALG001
In complex pre-requisite:	NMAG201, NMAG202, NMFM202, NMSA336

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: G_M (15.05.2012)

The first introductory lecture in linear algebra for General Mathematics, Financial Mathematics, and Information Security. Basic matrix operations, systems of linear equations, arithmetic vector spaces, linear dependence, linear envelope, dimension, orthogonality and orthogonalization, matrix decompositions, least squares problem, determinants.

Literature -

Last update: doc. RNDr. Jiří Tůma, DrSc. (22.05.2017)

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

Syllabus -

Last update: doc. RNDr. Jiří Tůma, DrSc. (11.10.2017)

fields, characteristic of a field,

systems of linear equations, Gauss elimination, parametric form of the solution set

elements of matrix operations, matrix as a linear mapping, group of regular matrices

abstract vector spaces, linear independence, linear span, basis, dimension, rank of a matrix, fundamental subspaces of a matrix,

linear mapping, matrix of a linear mapping, change of basis, space of linear mappings,

determinant, geometric meaning, Vandermond matrix