MATH2040A - Linear Algebra II - 2020/21

Course Name: 
Course Year: 


  • Sep 3: Welcome to the course! No tutorial lecture in the 1st week. Here is the course outline: [Download file]
  • Sep 21: 1. Midterm 1 will be held on October 9, 2020 (Friday) and Midterm 2 will be held on November 6, 2020 (Friday). Please mark it down on your calendar. Midterm 1 will be held about three weeks from now. 2. Midterm examinations will be conducted online using "Blackboard" as a "take-home exam" with a 24 hours limit. For midterm 1, the examination question will be available on October 9, 2020 at 10:00am and the deadline for submission (via "Blackboard") is October 10, 2020 at 10:00am. It is expected that the paper can be finished within 3 hours. As such, the 24-hour limit should allow enough flexibility. 3. Midterm 1 will cover materials taught from Week 1 to Week 4.
  • Oct 6: Covers of Midterm One are updated as the only Chapter 1 of the textbook, that is Topic 1 to Topic 4 of the course lectures.
  • Oct 8: Here are a few tips for Test One: [Download file]
  • Nov 3: The final examination will start at 10:00am on December 18th, 2020. The exam will take 24 hours and hence will end at 10:00am on the next day December 19th 2020. Please mark the time and date in your calendar. It will be an open-book test and the answers should be submitted in Blackboard. Further details will be announced in due course.
  • Nov 4: Here are a few tips for Test Two: [Download file]
  • Nov 11: Classes (both lecture and tutorial) on 19 November 2020 (Thursday) will be suspended due to the 88th Congregation on that day.
  • Dec 15: Here are a few tips for Final Exam [Download file]

General Information


  • Prof DUAN Renjun
    • Office: LSB 206
    • Tel: 3943 7977
    • Email:

Teaching Assistant

  • Mr. CHAN Kai Fai
    • Office: LSB 232
    • Tel: 3943 5294
    • Email:
  • Mr. CHEN Yiting
    • Office: AB1 614
    • Tel: 3943 4109
    • Email:

Time and Venue

  • Lecture: Tue 10:30AM - 12:15PM at Zoom and Thu 4:30PM - 5:15PM at Zoom
  • Tutorial: Thu 5:30PM - 6:15PM at Zoom

Course Description

This course is a continuation of Linear Algebra I (MATH 1030). It is a second course on linear algebra and will cover basic concepts of abstract vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalizability, operators on inner product spaces, orthogonality and Gram-Schmidt process, adjoint, normal and self-adjoint operators, spectral theorems, and if time permits, quadratic forms and Jordan canonical forms. More emphasis will be put on the theoretical understanding of basic concepts in linear algebra.


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


  • Axler, Linear Algebra Done Right, 3rd edition, Springer.

Pre-class Notes

Lecture Notes

Tutorial Notes


Quizzes and Exams


Useful Links

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:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: December 18, 2020 09:50:32