MATH2040B  Linear Algebra II  2020/21
Announcement
 There will be no tutorial classes in the first week.
 Homework 1 has been posted. The question can be found in the textbook: Friedberg, Insel and Spence, Linear algebra, 4th edition, Pearson. Please submit your homework on the Blackboard. It is due on Sept 18 (next Friday) before 11:59pm.
 Instruction on the submission of homework on Blackboard. [Download file]
 Homework 2 has been posted.
 Arrangement for the midterm examinationsThe midterm examinations will be arranged as below.
 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.
 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.
 Midterm 1 will cover materials taught from Week 1 to Week 4.
 Homework 3 has been posted.
 Please be informed that there a minor typo in Q2 in Part II: "Prove that {w1, w2, ..., wm} is a basis for V if and only if ..." The typo has been indicated in red, namely, n should be m in the updated file. Please download the updated file
 Homework 5 has been posted.It is due next Monday 19/10 before 1159PM.
 Adjustment for the Lecture and Tutorial session on Oct 20 and Oct 22The following adjustment for our lecture and tutorial sessions will be made this week:Tuesday (20/10): I will give a lecture from 4:30pm to 6pm. Therefore, there will be no tutorial session on Tuesday. Please join the lecture at: https://cuhk.zoom.us/j/
93644920819 Thursday (22/10): There will be a tutorial session from 10:30am to 11:15am. Please join the tutorial session at: https://cuhk.zoom.us/j/2341862084 And Prof. Renjun Duan will substitute me for a lecture from 11:30am to 12:15pm. Please join the lecture at: https://cuhk.zoom.us/j/93644920819  Homework 6 has been posted.
 Homework 7 has been posted.
 Please be reminded that we will have midterm 2 next Friday (November 6). The coverage of the midterm will be from Lecture 6 p.11 to Lecture 12. That is, Section 2.1 to Section 5.1 in the textbook.
 Midterm 2 will be conducted online using "Blackboard" as a "takehome exam" with a 24 hours limit. The examination question will be available on November 6, 2020 at 10:00am and the deadline for submission (via "Blackboard") is November 7, 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.
 Homework 8 has been posted.
 Homework 9 has been posted.
 Statistics of Midterm 1 scores: Mean: 90.625; SD: 9.9; Median: 93
 No lecture on Nov 19 due to the graduation ceremony.
 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.
 Homework 10 has been posted.
 Homework 11 has been posted. There is no need for submission. The solution will be posted few days later.
 Statistics of Midterm 2: Mean = 90.0625; Median= 90.5; SD = 6.59041
 Reminder: Final Exam on December 18, 2020Please be reminded that there will be an online final exam on December 18, 2020 starting at 10am. Please find below some hints about the final exam:
 The final exam will cover all taught materials of the textbook or equivalently Lecture 1 to Lecture 24 of the course lectures (with emphasis on Lecture 13 to Lecture 24).
 The exam will start at 10am, December 18th (Friday) and the question paper will be uploaded to the course website and Blackboard on time.
 Print out the front page as well as enough copies of the provided template of answer sheets. You may do this earlier than the starting time of the exam. You may use other kinds of paper sheets with format similar to the provided one.
 Start each answer on a fresh page and write the number of the question attempted at the top of the page.
 The exam will take 24 hours, so it will end at 10am, December 19th (Saturday). Please submit your work (the signed front page and all complete answer sheets) in one electric file (PDF is better) online through Blackboard on or before the due time. You are kindly reminded to prepare your submission earlier than the due time and double check if the submission is successfully made. Late submission will not be accepted.
General Information
Lecturer

Ronald Lok Ming LUI
 Office: LSB 207
 Tel: 39437975
 Email:
Teaching Assistant

Chenran Lin
 Email:
Time and Venue
 Lecture:
Tue: 5:30pm6:15pm; Thurs: 10:30am12:00pm (Zoom link: https://cuhk.zoom.us/j/93644920819 )
 Tutorial:
Tue: 4:30pm5:15pm (Zoom link: https://cuhk.zoom.us/j/2341862084 )
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.
Lecture Notes
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5
 Lecture 6
 Lecture 7
 Lecture 8
 Lecture 9
 Lecture 10
 Lecture 11
 Lecture12
 Lecture 13 (by Prof. Duan)
 Lecture 14
 Lecture 15
 Lecture 16
 Lecture 17
 Lecture 18
 Lecture 19
 Lecture 20
 Lecture 21
 Lecture 22
 Lecture 23
 Lecture 24
 Jordan Canonical Form Note
Tutorial Notes
 week 1
 week 1 solution
 week 2
 week 2 solution
 week 3
 week 3 solution
 week 4
 week 5
 week 5 solution
 week 6
 week 6 solution
 week 7 note and solution
 week 8 note and solution
 week 9 note and solution
 week 10 note and solution
 week 11 note and solution
 week 12 note and solution
Assignments
 Homework 1: Sec 1.2: 8, 11, 13, 17, 21; Sec 1.3: 10, 19, 20, 23, 24 (Due on Sept 18 before 6pm. Please upload your solution to blackboard)
 Homework 2: Sec 1.4: 5 (e), (g), 6, 12, 13, 15; Sec 1.5 2(d),(h),(j), 9, 14, 16, 19 (Due on Sept 25 before 1159PM)
 Homework 3: Sec 1.6: 4, 11, 12, 14, 15, 20, 23, 24, 26, 31 (Due on Oct 2 before 11:59PM)
 Homework 4: Sec 2.1: 2, 4, 12, 13, 14, 15, 16, 17, 19, 20 (Due on Oct 9 before 1159PM)
 Homework 5: Sec 2.1: 28, 29; Sec 2.2: 2 c), f), 5, 8, 11, 13; Sec 2.3: 3, 9, 11 (Due on Oct 19 before 1159PM)
 Homework 6: Sec 2.4: 2(d),(e), 7, 15,16, 17; Sec 2.5: 2(b),(d), 3(a),(c),(d), 4, 6(b),(c), 7 (Due on Oct 26 before 1159PM)
 Homework 7: Sec 5.1: 2(c), (f), 3(c), (d), 4(g), (h), 6, 8, 15, 20, 22 (Due on Nov 2 before 1159PM)
 Homework 8: Sec 5.2: 2(f), 3(b), 7, 10, 17; Sec 5.4: 2(e), 5, 11, 13, 19 (Due on Nov 16 before 1159PM)
 Homework 9: Sec 6.1: 9,10, 11, 12, 15; Sec 6.2: 2(g), (i), 6, 8, 14, 17 (Due on Nov 23 before 1159PM)
 Homework 10: Sec 6.3: 3(b), (c), 6, 8, 9, 13, 14; Sec 6.4: 2(c), (d), 6, 7, 9, 11 (Due on Dec 4 before 1159PM)
 Homework 11: Sec 6.5: 2(c), (d), (e), 6, 7, 12, 13; Sec 6.6: 2, 4, 6, 7, 10 (No need for submission. The answer will be posted few days later)
Quizzes and Exams
 Tips for midterm 1
 Front page for midterm 1
 Template of answer book
 Midterm 1 Question
 Front page for midterm 2
 Template of answer book
 Midterm 2 Question
 Front page & Template sheet for Final
 Final Exam Question
Solutions
 HW1 Solution
 HW2 Solution
 HW3 Solution
 HW4 Solution
 HW5 Solution
 HW6 Solution
 HW7 Solution
 HW8 Solution
 HW9 Solution
 HW10 Solution
 HW11 Solution
Assessment Scheme
Homework  10%  
Midterm 1 (October 9, 2020)  20%  
Midterm 2 (November 6, 2020)  20%  
Final examination (December 18, 2020)  50% 
Useful Links
 Lecture 1 recording
 Lecture 2 recording
 Lecture 3 recording
 Lecture 4 recording
 Tutorial 1 recording
 Lecture 5 recording
 Tutorial 2 recording
 Lecture 6 recording
 Lecture 7 recording
 Tutorial 3 recording
 Lecture 8 recording
 Lecture 9 recording
 Tutorial 4 recording
 Tutorial 5 recording
 Lecture 10 recording
 Lecture 11 recording
 Lecture 12 recording
 Lecture 14 recording
 Lecture 15 recording
 Lecture 16 recording
 Tutorial 6 recording
 Tutorial 7 recording
 Tutorial 8 recording
 Lecture 17 recording
 Lecture 18 recording
 Tutorial 9 recording
 Lecture 19 recording
 Lecture 20 recording
 Lecture 21 recording
 Lecture 22 recording
 Lecture 23 recording
 Tutorial 10 recording
 Tutorial 11 recording
 Tutorial 12 recording
 Lecture 24 recording
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: December 18, 2020 09:42:01