 course no.
 401013100
 semester
 Fall 2022
 lecturers
 Özlem Imamoglu,
Olga SorkineHornung  coordination

Jing Ren,
Alexandre Binninger,
Danielle Luterbacher
 lecture
 Wed 1012; HG F 7, HG F 5 (stream)
Fri 1012; HG F 7, HG F 5 (stream)
Live Stream
 EduApp
 Link
 video recording
 ETH Videoportal
 exercise
 Thu 0810/1618, Fri 1416
 ECTS
 7 credits
news
 22.09.2022
 The EduApp link has been added to the webpage. You are encouraged to ask questions over there during lectures.
 01.09.2022
 Website online.
content
Systems of linear equations, vectors and matrices, norms and scalar products, LU decomposition, vector spaces and linear maps, linear least squares problems, QR decomposition, determinants, eigenvalues and eigenvectors, singular value decomposition, applications.
schedule and course notes
Date  Notes  Chapter in script 

21.09.22 23.09.22 
Introduction, Complex numbers 
0.30.4 
28.09.22 30.09.22 
Systems of linear equations (SLE), Gauss algorithm 
1.11.3 
05.10.22 07.10.22 
Matrices and vectors  2.12.3, 2.6 
12.10.22 14.10.22 
Inverse, orthogonal and unitary matrices, LU decomposition 
2.72.9, 3.13.2 
19.10.22 21.10.22 
Vector space, vector subspace, bases  4.14.3 
26.10.22 28.10.22 
Dimension, change of basis, linear maps 
4.34.4, 5.1 
02.11.22 04.11.22 
Kernel, image, matrix representation, solution set of an SLE 
5.15.5 
09.11.22 11.11.22 
Norm, scalar product  6.16.2 
16.11.22 18.11.22 
CauchySchwarz inequality, orthonormal bases, GramSchmidt process  2.4, 6.26.3 
23.11.22 25.11.22 
Orthogonal complements, orthogonal/unitary maps, fundamental subspaces 
6.46.6 
30.11.22 02.12.22 
Least squares, QR decomposition, determinants 
6.6, 7.17.2, 8.18.3. 
07.12.22 09.12.22 
Determinants, eigenvalues  8.18.3, 9.1 
14.12.22 16.12.22 
Eigenvalues, eigenvectors, spectral decomposition, spectral theorem, singular value decomposition 
9.19.3, 11.1
SVD applications 
21.12.22 23.12.22 
to be determined  
script
The relevant content for the exam is completely covered during the lecture. The following script is only provided for additional support.
additional support
Matlab tutorials
Matlab exercises are not relevant for the exam. They are provided for completeness.books
 Lineare Algebra, G. Fischer
 Lineare Algebra, K. Jänich
 Linear Algebra and Its Applications, Gilbert Strang
 Mathematik für Ingenieure und Naturwissenschaftler (Band 1,Band 2), Lothar Papula
bonus assignments
During the semester, you can hand in solutions to the exercises clearly marked as bonus to acquire bonus points. The 10 best weeks will be taken into account. The acquired bonus points can increase the grade of the written exam by at most 0.25.
assignment submission to submit, you have to hand in a single PDF file via Moodle before the strict deadline listed below (no extension policy). You can convert and combine pictures of handwritten notes into a single PDF, or type the homework using LaTeX. Below we provide a readytouse LaTeX template. To use it, (1) sign up for overleaf using your ETH account; (2) drag the zip file below to start a new project; (3) compile the main.tex file.
Inappropriate behavior when working on the assignments, such as copying the solutions of fellow students or other sources, or providing your own solution for others to copy, has serious consequences, including the dispossession of all the bonus points.
exercises
Date (exercise session)  Assignment  Solution  Hand in deadline 

29.09.22/30.09.22  Assignment 1  07.10.22, 16:00  
06.10.22/07.10.22  Assignment 2  14.10.22, 16:00 
exercise groups
Zoom Links (restricted access. Use VPN outside of the ETH network. Instructions can be found here.)assistant  time  place  comment 

Dong Ho Kang  Thu 0810  Online (see Zoom links above)  
Petar Stamenkovic  Thu 0810  CAB G 57  
Marko Mihajlovics  Thu 0810  CHN D 42  
Silvan Weder  Thu 0810  IFW A 32.1  German 
Elia Trachsel  Thu 0810  CHN D 46  
Petr Hruby  Thu 0810  CHN C 14  
Jana Dinger  Thu 0810  ML F 34  
Aurel Gruber  Thu 0810  ML J 37.1  
Muyang Du  Thu 0810  RZ F 21  
Sergey Prokudin  Thu 1618  CHN D 44  
Zichen Gui  Thu 1618  CHN D 42  
Leander DiazBone  Thu 1618  IFW A 34  German 
Boyang Sun  Thu 1618  ETZ H 91  
Floor Verhoeven  Thu 1618  Online (see Zoom links above)  
Kaifeng Zhao  Fri 1416  ETZ E 7  
Chen Guo  Fri 1416  Online (see Zoom links above)  
Ziqi Wang  Fri 1416  CHN G 46  
Tianxin Tang  Fri 1416  IFW C 31  
Marcel Geppert  Fri 1416  IFW D 42  German 
Aviv Segall  Fri 1416  LFW C 11  
Elif Bilge Emanet  Thu 0810  CAB G 56 
exam
Written exam, 180 minutes. Aid: 6 onesided A4 pages or 3 doublesided A4 pages of written notes (notes typed in LaTeX or similar and printed are allowed; they should be readable without a magnifying glass); a dictionary (EnglishGerman or other foreign language) as a paper book is allowed (no ebook or similar); no calculator.