# 457-0525/02 – Linear Algebra for IT (LAIT)

 Gurantor department Department of Applied Mathematics Credits 8 Subject guarantor doc. Mgr. Vít Vondrák, Ph.D. Subject version guarantor doc. Mgr. Vít Vondrák, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 2006/2007 Year of cancellation 2009/2010 Intended for the faculties FEI Intended for study types Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DOS35 prof. RNDr. Zdeněk Dostál, DSc.
KUR138 Ing. Pavlína Forstová Kuráňová, Ph.D.
KAB002 Ing. Pavla Hrušková, Ph.D.
JAH02 RNDr. Pavel Jahoda, Ph.D.
KOT237 Ing. Petr Kotas
KRA557 Ing. Martin Kramář
LIT40 Ing. Martina Litschmannová, Ph.D.
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
MEN060 Ing. Martin Menšík
MOC017 Ing. Lukáš Mocek
PRA76 Ing. Pavel Praks, Ph.D.
SIN29 RNDr. Libor Šindel
VLA04 Ing. Oldřich Vlach, Ph.D.
VON15 doc. Mgr. Vít Vondrák, Ph.D.
S1A64 RNDr. Petra Vondráková, Ph.D.
ZDR060 Ing. Adam Zdráhala
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Part-time Credit and Examination 15+15

### Subject aims expressed by acquired skills and competences

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.

Lectures
Tutorials
Project work

### 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.

### Compulsory literature:

H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991.

### Recommended literature:

S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994 H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989

### Way of continuous check of knowledge in the course of semester

Verification of study: Test on solution of linear systems and matrix algebra (max 8m) Test on vector spaces, linear mapping and multilinear algebra (max 7m) Homeworks (15m) Conditions for credit: Minimum 15 marks on tests and the homeworks. Submition of solved semestral project.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

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 An introduction to analytic geometry 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 Computational examples from analytic geometry

### Conditions for subject completion

Full-time form (validity from: 2006/2007 Winter semester, validity until: 2009/2010 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Examination Examination 70  0
Exercises evaluation Credit 30 (30) 15
Test1 Written test 8  0
Test2 Written test 7  0
DÚ 1 Project 4  0
DÚ 2 Project 6  0
DÚ 3 Project 5  0
Projekt Semestral project
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2009/2010 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (2612R059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology (2612R059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (2612R059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology (2612R059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (2612R059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2647) Information and Communication Technology (2612R059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (2612R059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2647) Information and Communication Technology (2612R059) Mobile Technology K Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner