Linear Algebra I Fall 2024
In this lecture we introduce the basic concepts about vector spaces, linear maps and matrix transformations. It is a very important basic course because In many occasions one approaches a problem by linearization, because linear systems are easier to solve than non-linear ones. The syllabus can be found here.
Content: (Organized by chapters in the lecture notes)
- Linear systems
- determinants
- Euclidean vector spaces
- General vector spaces
- Eigenvalues and eigenvectors
- Inner product space
- Diagonalization and quadratic forms
- Linear transforamations
Literature:
Book Name: Elementary Linear Algebra (Application Version),
Howard Anton & Chris Rorres, ISBN 978-1-118-43441-3, Wiley, 2014, Edition 11
Course (MATH1112.04): Wednesday (数学中心204) 8:15am-9:55am and
Friday (数学中心204) 8:15am-9:55am
TAs (time of example class with 10 min break)
Class 1 Guan Jingrong (Wed 6pm-7:40pm, 数学中心204),
Class 2 Zhao Yinhao (Wed 7:50pm-9:30pm, 数学中心203),
Class 3 Li Zhikai (Fr 3:55pm-5:35pm, 数学中心201)
Every student needs to choose one example class and to write the number of the example class on the homework solution.
Please attend the chosen eample class. It is very important, because the theory of the lecture will be made more accessible with helpful examples. Most of the skills for Linear Algebra will be trained in the example class.
Lecture notes Chapter 1 (In Def. 51(b) it should be a_ij=0 for all i>j, e.g. a_21=0)
Additional material: Proof Thm25 (there are some typos)
Problem sheets Sheet 1 Sheet 2 Sheet 3 (Page 94 and 101 for Sheet 3)
The solutions have to be handed in on Wednesdays before the lecture. Late submissions do not count.
Office hours: See on the left column.
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