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Course, academic year 2022/2023
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Linear algebra III - NMAI072
Title: Lineární algebra III
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Guarantor: prof. Mgr. Milan Hladík, Ph.D.
Class: Informatika Bc.
Classification: Informatics > External Subjects
Annotation -
Last update: IUUK (29.04.2013)
A continuation of linear algebra with focus on deeper results and complex applications. Understanding of subjects Linear Algebra 1 and 2 is expected.
Course completion requirements - Czech
Last update: Mgr. Jan Kynčl, Ph.D. (31.05.2019)

Ústní zkouška.

Literature -
Last update: prof. Mgr. Milan Hladík, Ph.D. (04.02.2019)
  • J. W. Demmel - Applied Numerical Linear Algebra
  • G. Strang - Linear Algebra and Its Applications
  • G. Strang - Linear Algebra and Learning from Data
  • L. Motl, M. Zahradník - Pěstujeme lineární algebru
  • J. Duintjer Tebbens, I. Hnětynková, M. Plešinger, Z. Strakoš, P. Tichý: Analýza metod pro maticové výpočty: Základní metody
  • R.J. Lipton, K.W. Regan - Quantum Algorithms via Linear Algebra: A Primer
Requirements to the exam -
Last update: prof. Mgr. Milan Hladík, Ph.D. (07.10.2019)

Examination has the oral form. The requirements correspond to the contents presented at the lectures.

Syllabus -
Last update: prof. Mgr. Milan Hladík, Ph.D. (30.09.2021)
  • SVD decomposition and its application
  • pseudoinverse of a matrix
  • matrix norm, examples and applications
  • condition number and its interpretation
  • perturbation, continuity and derivative in linear algebra
  • matrix functions
  • non-standard matrix products
 
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