Subjects

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Linear Algebra I - NMUE024

Title:	Lineární algebra I
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Class:	Učitelství matematiky
Classification:	Mathematics > Algebra Teaching > Mathematics
Incompatibility :	NALG001
Interchangeability :	NALG001, NUMP003
Is co-requisite for:	NMUE025
Is incompatible with:	NMAF012
Is interchangeable with:	NUMP003

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Annotation -

Vector spaces, especially of finite dimensions, matrices, systems of linear equations, permutations and determinants. Coordinates and their transformations.

Last update: T_KA (16.05.2005)

Literature -

S. Lang: Linear Algebra, Addison-Wesley Publishing Company-Reading, 1966.

I. Satake: Linear Algebra, Marcel Dekker, Inc., New York, 1975.

S. Axler: Linear Algebra Done Right, Springer, New York, 1996.

Last update: PECINOVA/MFF.CUNI.CZ (14.05.2008)

Syllabus -

1. Groups, fields (definitions, examples)

2. Vector spaces over a field, finitely generated vector spaces. A base and the dimension of a space.

3. Homomorphisms of vector spaces and their matrices.

4. Rank of a homorphism and of a matrix.

5. Systems of linear equations.

Last update: T_KA (16.05.2005)