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Kies de Nederlandse taal
Course module: 202001330
202001330
Linear Structures II
Course info
Course module202001330
Credits (ECTS)3
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. J. de Jong
E-mailj.dejong-3@utwente.nl
Lecturer(s)
Contactperson for the course
dr. J. de Jong
Examiner
dr. J. de Jong
Academic year2022
Starting block
1B
RemarksOnly for repeat students who need to re-take the exam.
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
Upon completion of this course the student is able to:
  • compute eigenvalues and eigenvectors of finite-dimensional linear mappings and can determine the spectral decomposition of simple linear mappings;
  • determine an orthonormal basis and can determine if a mapping is self-adjoint, unitary, normal, or orthogonal.
Content

This course code is only for repeat students who need to re-take the exam from last year.
All others: please refer to the new AM module 2 Structures and Systems 202200235 .


Linear structures II is a continuation of Linear Structures I. In this course, students continue their study of vector spaces and linear operators, by focusing on two special types of bases: Bases of eigenvectors, used in e.g. dynamical systems, and orthonormal bases used in, e.g., Fourier analysis. We briefly touch upon these applications, but the course mainly focuses on learning how to construct these bases, and proving existence conditions.
 
Assumed previous knowledge
Linear Structures 1 is recommended. Some students are able to follow the course if they passed Linear Algebra with a very high grade. If you are unsure if you pass the requirements, please contact the contact person.
Participating study
Bachelor Applied Mathematics
Required materials
Book
Friedberg, Insel, Spence, “Linear Algebra". ISBN: 0-13-120266-9
Recommended materials
-
Instructional modes
Assessment
Presence dutyYes

Lectorial

Tutorial

Tests
Written exam

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Kies de Nederlandse taal