457-0510/01 – Linear Algebra (LA1)

 Gurantor department Department of Applied Mathematics Credits 4 Subject guarantor doc. Mgr. Vít Vondrák, Ph.D. Subject version guarantor doc. Mgr. Vít Vondrák, Ph.D. Study level undergraduate or graduate Study language Czech Year of introduction 1999/2000 Year of cancellation 2009/2010 Intended for the faculties FEI Intended for study types Bachelor
Instruction secured by
DOS35 prof. RNDr. Zdeněk Dostál, DSc.
HEN50 RNDr. Ctibor Henzl, Ph.D.
HOR33 doc. Ing. David Horák, Ph.D.
JAH02 RNDr. Pavel Jahoda, Ph.D.
KOT237 Ing. Petr Kotas
LIT40 Ing. Martina Litschmannová, Ph.D.
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
VON15 doc. Mgr. Vít Vondrák, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+10
Lifelong Credit and Examination 10+10

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 a basic tool of formulation and effective solution of technical problems. The students will get knowledge of basic concepts and computational skills of linear algebra.

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Verification of study: Solution of linear systems¨and matrix algebra (max 8b) Vector spaces, linear mapping, multilinear forms (max 7b) Homeworks (15b) Conditions for credit: Minimum 15 marks of continuous assessment

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Complex numbers Solution of systems of linear equations by elimation based methods Algebra of arithmetic vectors and matrices Inverse matrix Vector space Spaces of functions Derivation and integration of piece-wise linear functions Linear mapping Bilinear and quadratic forms Determinants Eigenvalues and eigenvectors An introduction to analytic geometry Exercises: Arihmetics of complex numbers Solution of systems of linear equations Practicing algebra of arithmetic vectors and matrices Evaluation of inverse matrix 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 Mtrices 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: 2009/2010 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 30 (30) 10
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
Examination Examination 70  0
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2009/2010 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (30) 51
Exercises evaluation Credit 30 (30) 10
Test1 Written test 8  0
Test2 Written test 7  0
DÚ 1 Project 4  0
DÚ 2 Project 4  0
DÚ 3 Project 4  0
DÚ 4 Project 3  0
Examination Examination
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2649) Electrical Engineering C Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Rožnov pod Radhoštěm 1 Compulsory study plan
2008/2009 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Šumperk 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering K Czech Šumperk 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3943) Mechatronics (3906R999) Společné studium oboru Automobilová elektronika, Mechatronické systémy P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2648) Designing of Electric Devices (2648R999) Společné studium P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2648) Designing of Electric Devices (2648R999) Společné studium K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2608R004) Commercial Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering K Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R018) Electronics and Communication Technology K Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2642T004) Electrical Machines Apparatus and Drives K Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (3907T001) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner