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)
Literature:
Book Name: Elementary Linear Algebra (Application Version),
Howard Anton & Chris Rorres, ISBN 978-1-118-43441-3, Wiley, 2014, Edition 11
Final Review problems for the final
When: Wednesday 24th of January 2024, 08:00-10:00 in then morning.
Please arrive half an hour before.
Where: Teaching center, Room 203
TAs Li Chenxuan, Yu Sun, Zhe Zhelin
Lecture notes
Chapter1 Chapter2 Chapter3 Chapter4
Chapter5 Diagonalizing Chapter6 Chapter7 Chapter8
Problem sheets
Sheet1Sheet2 Sheet3 Sheet4 Sheet5 Sheet6 Sheet7 Sheet8 Sheet9 Sheet10.
Sheet11 Sheet12 Sheet13 Sheet14
Midterm review_problems solutions; midterm-solutions.
Additional material
Proof of Theorem 25 (uniqueness of reduced row echelon form of a matrix)
Applications for Chapter 2 (Cramer's rule and sign of a permutation)
Application-Ch5-Linear-Differential-Equations
Applications-Ch7 Conics and local extrema