MATH2040A  Linear Algebra II  2020/21
Announcement
 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 "takehome 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 24hour 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 openbook 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.
General Information
Lecturer

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 GramSchmidt process, adjoint, normal and selfadjoint 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.
Textbooks
 Friedberg, Insel and Spence, Linear algebra, 4th edition, Pearson.
References
 Axler, Linear Algebra Done Right, 3rd edition, Springer.
Preclass Notes
Lecture Notes
 Zoom2040A0908 (Topic 1: Vector space and Topic 2: Subspace)
 Zoom2040A0910 (Continue Topic 2 and Topic 3: Span and linear independence)
 Zoom2040A0915 (Continue Topic 3 and Topic 4: Basis and dimension)
 Zoom2040A0917 (Continue Topic 4)
 Zoom2040A0922 (Continue Topic 4)
 Zoom2040A0924 (Topic 5: Linear Transformation)
 Zoom2040A0929 (Topic 6: Null space, range and dimension theorem)
 Zoom2040A1006 (Topic 7: Matrix representation of a linear transformation)
 Zoom2040A1008 (Topic 8: Invertibility and isomorphism)
 Zoom2040A1013 (Continue Topic 8 and Topic 9: Change of coordinates)
 Zoom2040A1015 (Topic 10: Eigenvalue and eigenvector)
 Zoom2040A1020 (Continue Topic 10 and Topic 11: Diagonalizability)
 Zoom2040A1022 (Continue Topic 11)
 Zoom2040A1027 (Continue Topic 11 and Topic 12: Invariant space and CH Thm)
 Zoom2040A1029 (Continue Topic 12)
 Zoom2040A1103 (Topic 13: Inner product space)
 Zoom2040A1105 (Continue Topic 13 and Topic 14: GS Orthogonalization)
 Zoom2040A1110 (Continue Topic 14 and Topic 15: Orthogonal complement)
 Zoom2040A1112 (Continue Topic 15 and Topic 16: Adjoint)
 Zoom2040A1117 (Continue Topic 16 and Topic 17: Normal and selfadjoint operators)
 Zoom2040A1124 (Continue Topic 17)
 Zoom2040A1126 (Topic 18: Unitary/orthogonal matrix/operator)
Tutorial Notes
 Tutorial 1
 Tutorial 1 Exercise Answer
 Tutorial 2
 Tutorial 2 Exercise Answer
 Tutorial 3
 Tutorial 3 Exercise Answer
 Tutorial 4
 Tutorial 4 Exercise Answer
 Tutorial 5
 Tutorial 5 Exercise Answer
 Tutorial 6
 Tutorial 6 Exercise Answer
 Tutorial 7
 Tutorial 7 Exercise Answer
 Tutorial 8
 Tutorial 8 Exercise Answer
 Tutorial 9
 Tutorial 9 Exercise Answer
Assignments
 Homework 01
 Homework 02
 Homework 03
 Homework 04
 Homework 05
 Homework 06
 Homework 07
 Homework 08
 Homework 09
 Homework 10 (corrected)
Quizzes and Exams
 Test 1: Front page and answer sheet template
 Test 1: Question paper
 Suggested solution to Test 1
 Test 2: Front page and answer sheet template
 Test 2: Question paper
 Suggested solution to Test 2
Solutions
 HW1_solutions
 HW2_solutions
 HW3_solutions
 HW4_solutions
 HW5_solutions
 HW6_solutions
 HW7_solutions_v2 (updated)
 HW8_solutions
Useful Links
 MATH2040B
 Video for Zoom2040A0908
 Video for Zoom2040A0910
 Video for Zoom2040A0915
 Video for Zoom2040A0917
 Video for Zoom2040A0922
 Video for Zoom2040A0924
 Video for Zoom2040A0929
 Video for Zoom2040A1006Part I
 Video for Zoom2040A1006Part 2
 Video for Zoom2040A1008
 Video for Zoom2040A1013
 Video for Zoom2040A1015
 Video for Zoom2040A1020
 Video for Zoom2040A1022
 Video for Zoom2040A1027 (not available; sorry)
 Video for Zoom2040A1029
 Video for Zoom2040A1103
 Video for Zoom2040A1105
 Video for Zoom2040A1110
 Video for Zoom2040A1112
 Video for Zoom2040A1117
 Video for Zoom2040A1124
 Video for Zoom2040A1126
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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: November 28, 2020 17:03:54