Skip to main content
Skip header

ECTS Course Overview



Linear Algebra

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code470-2205/02
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *First Cycle
Year of Study *
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
KOV74Mgr. Tereza Kovářová, Ph.D.
Summary
Linear algebra is one of the basic tools of formulation and solution of engineering problems. The students will get in an elementary way basic concepts and comutational skills of linear algebra, including algorithmic aspects that are important in computer implementation.
Learning Outcomes of the Course Unit
To supply working knowledge of basic concepts of linear algebra including their geometric and computational meaning, in order to enable to use these concepts in solution of basic problems of linear algebra. Student should also learn how to use the basic tools of linear algebra in applications.
Course Contents
Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
Scalar product
Linear algebra applications

Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
Orthogonalization process
Recommended or Required Reading
Required Reading:
H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991
Z. Dostál, V. Vondrák, D. Lukáš, Lineární algebra, VŠB-TU Ostrava 2012, http://mi21.vsb.cz/modul/linearni-algebra

Z. Dostál, Lineární algebra, VŠB-TU Ostrava 2000

Z. Dostál, L. Šindel, Lineární algebra pro kombinované a distanční studium, VŠB-TU Ostrava 2003

L. Šindel: Sbírka řešených příkladů z lineární algebry

H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991
Recommended Reading:
S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994

H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989
B. Budinský, J. Charvát, Matematika I, SNTL Praha 1987

V. Havel, J. Holenda, Lineární algebra, SNTL/Alfa Praha 1984

J. Schmidtmayer, Maticový počet a jeho použití v technice, SNTL Praha 1967

S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994

H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Tasks are not Defined