# MATH2048 - Honours Linear Algebra II - 2022/23

Course Year:
2022/23
Term:
1

### Announcement

• We are going to have a make-up class next Monday (Dec 5) from 10:30am to 12:15pm. The class will be held via Zoom. The zoom link of the class is: https://cuhk.zoom.us/j/92182544180
• Submission of homework solutions
• To reduce the risk of spreading the coronavirus, you are not recommended to submit homework solutions physically. As such, you will submit your homework solutions by uploading the scanned copy via the Blackboard system.
• Please scan your solutions into a single PDF file and save it with the name like: YourStudentID_HW1.pdf. Then upload it via the Blackboard system. There are several useful apps for you to take a picture of your solution and scan your document (such as CamScanner HD and Microsoft Lens)
• Log onto https://blackboard.cuhk.edu.hk/ and click on our course 2022R1 Honours Linear Algebra II (MATH2048). Click on "course contents" and then "Homework X (Due on ...)". Follow the instructions therein to upload your solutions. An illustration can be downloaded below.
• All exercises in the textbook are collected in a single PDF file for students who don't have access to it. [Download file]
• There will be no tutorial in the first week.

### General Information

#### Lecturer

• Prof. Ronald Lok Ming LUI
• Office: LSB 207
• Tel: 39437975
• Email:

#### Teaching Assistant

• Zhiwen LI
• Office: LSB 222A
• Email:

#### Time and Venue

• Lecture: Tu 10:30AM - 12:15PM (William M W Mong Eng Bldg 804); Th 5:30PM - 6:15PM (Lee Shau Kee Building 208)
• Tutorial: Th 4:30PM - 5:15PM (Lee Shau Kee Building 208)

### Course Description

This course is a continuation of Honoured Linear Algebra I (MATH 1038). It is a second course on linear algebra and will cover basic concepts of abstract vector spaces over general field, direct sum, direct product, quotient spaces, existence of basis by Zorn's lemma, linear transformations, dual spaces, eigenvalues and eigenvectors, diagonalizability, operators on inner product spaces, orthogonality and Gram-Schmidt process, adjoint, normal and self-adjoint operators, spectral theorems, bilinear form and Jordan canonical forms. More emphasis will be put on the theoretical understanding of basic concepts in linear algebra.

### Textbooks

• Friedberg, Insel and Spence, Linear algebra, 4th edition, Pearson.

### Assessment Scheme

 Homework 10% Midterm exam 1 (Oct 13, 4:30pm - 6:15pm, in class) 20% Midterm exam 2 (Nov 17, 4:30pm - 6:15pm, in class) 20% Final exam (TBA) 50%

### Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website: