Ukončeno v akademickém roce 2015/2016
Linear Algebra
| Type of study | Bachelor |
|---|---|
| Language of instruction | English |
| Code | 470-2202/03 |
| Abbreviation | LA-IT |
| Course title | Linear Algebra |
| Credits | 8 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | doc. Ing. Petr Beremlijski, Ph.D. |
Osnova předmětu
Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Derivation and definite integral of piecewise linear functions
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
Using supercomputer Anselm and linear algebra to solve engineering problems
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization and solution of systems of linear eq.
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of functional spaces
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Derivation and definite integral of piecewise linear functions
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
Using supercomputer Anselm and linear algebra to solve engineering problems
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization and solution of systems of linear eq.
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of functional spaces
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
Povinná literatura
H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991.
Doporučená literatura
S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994
H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989
H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989