MATH2040B - Linear Algebra II - 2016/17

Announcement

• There is no tutorial class in the first week.
• Practice problem set 1 has been posted. If you do not yet have a copy of the textbook, the relevant pages have been scanned below (it requires a password, which you should have received through email if you have registered on CUSIS).
• Practice problem set 2 has been posted.
• Practice problem set 3 has been posted.
• Practice problem set 4 has been posted.
• Classroom rearrangement: Wednesday's lecture will be held at Lady Shaw Building C1 from 10:30am-12pm (instead of NAH 115)
• Practice problem set 5 has been posted.
• The first midterm will take place on Oct 18 (Tue) 7:30-9:00pm at LSB LT1. It will cover all the topics from the beginning of the course up to the (including) Cayley-Hamilton Theorem). This corresponds to Chapter 1-4, 5.1, 5.2 and 5.4 of the textbook. Please go to the test venue on time and bring your student ID.
• Practice problem set 6 has been posted.
• Practice problem set 7 has been posted.
• Practice problem set 8 has been posted.
• The second midterm will take place on Nov 15 (Tue) 7:30-9:00pm at LSB LT1. It will cover all topics all the topics in Sec 6.1-6.4 in the textbook (except least square approximation and minimal solution in Sec 6.3). That's, the materials in the lecture notes up to Lecture 19(1).
• Practice problem set 9 has been posted.
• Practice problem set 10 has been posted.
• Practice problem set 11 has been posted.

---

General Information

Lecturer

• Ronald Lok Ming LUI
  • Office: LSB 207
  • Tel: 3943-7975
  • Email:

Teaching Assistant

• LEUNG LIU Yusan
  • Office: LSB 222B
  • Tel: 3943 7963
  • Email:
  • Office Hours: Tue 12:30-3:15PM; Wed 2:30-5:15PM; Thurs 2:30-4:15PM
• GU Dalin
  • Office: AB1 407B
  • Tel: 3943 3720
  • Email:
  • Office Hours: Mon 8:30AM-11:30PM; Tue 8:30AM-11:30AM; Fri 3:30-5:30PM
• LAM Ming Fai
  • Office: LSB 222C
  • Tel: 3943 8570
  • Email:
  • Office Hours: Mon 11:30AM-2:15PM; Thurs 2:30PM-4:15PM; Fri 1:30-4:15PM

Time and Venue

• Lecture: We 10:30AM - 12:15PM (LSB C1); Th 10:30AM - 11:15AM (LBS LT4)
• Tutorial: Th 11:30AM - 12:15PM (LSB LT4)

Course Description

This is a continuation of MATH1030. Topics include: linear mapping and its matrix representation, eigenvalues and eigenvectors, inner product spaces, Gram-Schmidt process, Jordan canonical forms.

Textbooks

• "Linear Algebra (4th ed)" by S. Friedberg, A. Insel and L. Spence, Prentice Hall

Lecture Notes

• Lecture 1: Revision (1)
• Lecture 2: Revision (2)
• Lecture 3: Revision (3)
• Lecture 4: Eigenvalues and eigenvector: Definition
• Lecture 5: Eigenvalues and eigenvectors: Computation
• Lecture 6: Properties of eigenvectors
• Lecture 7: Eigenspaces
• Lecture 8: Necessary and sufficient conditions for diagonalizability
• Lecture 9: More about diagonalization
• Lecture 10: Direct sum and invariant subspaces
• Lecture 11: More about invariant subspaces
• Lecture 12: Inner Product Space (Definition)
• Lecture 13: More about inner product space
• Lecture 14: Orthogonal basis
• Lecture 15: Gram-Schmidt process and orthogonal complement
• Lecture 16: More about orthogonal complement and adjoint of linear operators
• Lecture 17: Adjoint of linear operators and normal operators
• Lecture 18: More about normal operators
• Lecture 19(1): Self-adjoint operarators
• Lecture 19(2): Unitary and orthogonal operators
• Lecture 20: More about unitary matrix and orthogonal linear operators
• Lecture 21: Unitarily/Orthogonally equivalent
• Lecture 22: Orthogonal projection
• Lecture 23: Jordan Canonical Form (Part 1)
• Lecture 24: Jordan Canonical Form (Part 2)
• Lecture 25: Jordan Canonical Form (Part 3)
• Lecture 26: Jordan Canonical Form (Part 4)

Tutorial Notes

• Tutorial Note 1
• Tutorial Note 2
• Tutorial Note 3
• Tutorial Note 4
• Tutorial Note 5
• Tutorial Note 6
• Tutorial Note 7
• Tutorial Note 8
• Tutorial Note 9
• Tutorial Note 10
• Tutorial Note 11

Assignments

• Practice Problem Set 1 (no need to turn in, solution will be posted next week)
• Scanned Practice Problem Set 1 (Password protected)
• Practice Problem Set 2
• Scanned Practice Problem Set 2
• Practice Problem Set 3
• Scanned Practice Problem Set 3
• Practice Problem Set 4
• Scanned Practice Problem Set 4
• Practice Problem Set 5
• Scanned Practice Problem Set 5
• Practice Problem Set 6
• Scanned Practice Problem Set 6
• Practice Problem Set 7
• Scanned Practice Problem Set 7
• Practice Problem Set 8
• Scanned Practice Problem Set 8
• Practice Problem Set 9
• Scanned Practice Problem Set 9
• Practice Problem Set 10
• Scanned Practice Problem Set 10
• Practice Problem Set 11
• Scanned Practice Problem Set 11

Solutions

• Solution of Practice Problem Set 1 (Written by TA, for reference only)
• Solution of Practice Problem Set 2 (Written by TA, for reference only)
• Solution of Practice Problem Set 3 (Written by TA, for reference only)
• Solution of Practice Problem Set 4 (Written by TA, for reference only)
• Solution of Practice Problem Set 5 (Written by TA, for reference only)
• Solution of Practice Problem Set 6 (Written by TA, for reference only)
• Solution of Practice Problem Set 7 (Written by TA, for reference only)
• Solution of Practice Problem Set 8 (Written by TA, for reference only)
• Solution of Midterm 1 (Written by TA, for reference only)
• Solution of Practice Problem Set 9 (Written by TA, for reference only)
• Solution of Practice Problem Set 10 (Written by TA, for reference only)
• Solution of Midterm 2 (Written by TA, for reference only)
• Solution of Practice Problem Set 11 (Written by TA, for reference only)

Assessment Scheme

Tutorial classwork		5%
Midterm 1 (7:30pm- 9pm, October 18 at LSB LT1)		22.5%
Midterm 2 (7:30pm - 9pm, November 15 at LSB LT1)		22.5%
Final		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:

http://www.cuhk.edu.hk/policy/academichonesty/

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

---

Last updated: December 02, 2016 10:00:47