Subjects

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Linear Algebra II - NMUE025

Title:	Lineární algebra II
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Semester:	summer
E-Credits:	6
Hours per week, examination:	summer 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

Class:	Učitelství matematiky
Classification:	Mathematics > Algebra Teaching > Mathematics
Co-requisite :	NMUE024
Incompatibility :	NALG002, NUMP004
Interchangeability :	NALG002, NUMP004
Is incompatible with:	NALG004, NMAF012
Is interchangeable with:	NUMP004, NMAF012

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Homomorphisms of vector spaces, coordinates and their transformations, linear forms and dual spaces.Bilinear and quadratic forms, polar bases. Unitary spaces, orthogonality. Jordan normal forms of matrices.

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. Homomorphisms of vector spaces and their matrices,

2. Permutations and determinants.

3. Characteristic polynomials, eigenvalues and eigenvectors of matrices. Jordan structure of a matrix.

4. Linear forms and dual spaces.

5. Bilinear and quadratic forms, polar bases. Unitary spaces, orthogonality.

6. Quadratic forms, Sylvestr's law of inertia.

7. Vector spaces with a scalar product.

Last update: T_KA (16.05.2005)