MATH2048 - Honours Linear Algebra II - 2024/25
Announcement
- Homework 5 has been posted.
- Homework 4 has been posted.
- Homework 3 has been posted.
- Homework 2 has been posted.
Submission of homework assignments
- Log onto https://blackboard.cuhk.edu.hk/ and click on our course 2024R1 Honours Linear Algebra II (MATH2048). Click on "course contents" and click on "Homework X (Due...)". Follow the instructions therein to upload your solution. An illustration can be downloaded here.
- Please scan your written solution into a single pdf file and save it with the name like: YourStudentID_HW1.pdf. 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).
- Homework 1 has been posted. It will be due on September 13 before 11:59PM. Please submit the homework via the Blackboard system.
- There will be no tutorial in the first week.
General Information
Lecturer
-
Prof. Ronald Lok Ming LUI
- Office: LSB 207
- Tel: 3943-7975
- Email:
Teaching Assistant
-
Ip Tsz Lok
- Office: SC 333B
- Email:
-
Zhu Zhipeng
- Office: LSB 222B
- Tel: 3943-7963
- Email:
Time and Venue
- Lecture: Mo 3:30PM - 5:15PM (Wu Ho Man Yuen Bldg 406); Th 5:30PM - 6:15PM (Y.C. Liang Hall G04)
- Tutorial: Th 4:30PM - 5:15PM (Y.C. Liang Hall G04)
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.
Lecture Notes
- Lecture 1: Revision of 1030/1038
- Lecture 2: Replacement Theorem and Direct Sum
- Lecture 3: Dimension of direct sum, direct product and quotient space
- Lecture 4: More about quotient space
- Lecture 5: Existence of basis using Zorn’s lemma and linear transformation (1)
- Lecture 6: Linear Transformation (2)
- Lecture 7: Matrix representation of linear transformation
- Lecture 8: Invertibility and Isomorphism
- Lecture 9: Isomorphism, Space of linear transformation, change of coordinates
- Lecture 10: Dual space (1)
- Lecture 11: Dual map, Diagonalizibility, Eigenvalues and Eigenvectors
- Lecture 12: Eigenspaces, algebraic multiplicities, geometric multiplicities and diagonalizability
Tutorial Notes
Assignments
- Homework 1 (Due on 2024-09-13 before 23:59) Last update: 6/9/2024
- Homework 2 (Due on 2024-09-20 before 23:59)
- Homework 3 (Due on 2024-09-27 before 23:59)
- Homework 4 (Due on 2024-10-04 before 23:59)
- Homework 5 (Due on 2024-10-18 before 23:59)
Solutions
Assessment Scheme
| Homework | 10% | |
| Midterm 1 (October 10, 4:30pm-6:15pm in class) | 20% | |
| Midterm 2 (November 14, 4:30pm-6:15pm in class) | 20% | |
| Final (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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: October 15, 2024 08:58:24