470-2205/01 – Linear Algebra (LA)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Petr Beremlijski, Ph.D.Subject version guarantordoc. Ing. Petr Beremlijski, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEI, USPIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BER95 doc. Ing. Petr Beremlijski, Ph.D.
HOM0056 Ing. Jakub Homola
JAH02 RNDr. Pavel Jahoda, Ph.D.
KAL0063 prof. RNDr. René Kalus, Ph.D.
KAP0080 Ing. Lukáš Kapera
KOV74 Mgr. Tereza Kovářová, Ph.D.
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
MAC0462 Ing. Zbyšek Machaczek
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time 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.

Teaching methods

Lectures
Tutorials

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:

ANTON, Howard, Chris RORRES a Anton KAUL. Elementary Linear Algebra: Applications Version. 12th edition. Wiley, 2019. ISBN 978-1119666141.

Recommended literature:

STRANG, Gilbert. Linear Algebra and Its Applications. 4th edition. Brooks/Cole ISE, 2005. ISBN 978-0030105678.

Additional study materials

Way of continuous check of knowledge in the course of semester

Verification of study: 2 tests on solution of linear systems, matrix algebra, vector spaces, linear mapping and multilinear algebra (max 30m, min 10m) Conditions for credit: Minimum 10 marks on tests.

E-learning

https://homel.vsb.cz/~ber95/LA/la.htm

Other requirements

No additional requirements are imposed on the student.

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 Vector spaces and subspaces Basis and dimension of vector spaces Linear mapping 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 Evaluation of determinants Evaluation of eigenvalues and eigenvectors Orthogonalization process

Conditions for subject completion

Full-time form (validity from: 2015/2016 Winter semester, validity until: 2016/2017 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30 (30) 10
                1. test Written test 12  3
                2. test Written test 12  3
                Domácí úkol Project 6  3
                Aktivní účast Other task type  
        Examination Examination 70  21 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2025/2026 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2025/2026 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0613A140014) Computer Science TZI P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0613A140014) Computer Science TZI K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter
2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer
2018/2019 Summer
2017/2018 Summer
2016/2017 Summer
2015/2016 Summer