# MATH2048 - Honours Linear Algebra II - 2023/24

Course Year:
2023/24
Term:
1

### Announcement

• 2022-23 Midterm 2 is posted for reference.
• 2022-23 Midterm 1 is posted for reference.
• Due date of HW4 is postponed to 2023-10-09; Due date of HW5 is postponed to 2023-10-16
• Submission of homework assignments

• Log onto https://blackboard.cuhk.edu.hk/ and click on our course 2023R1 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 15 before 1159PM. Please submit your homework via Blackboard.
• 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

• Li Zhiwen
• Office: LSB 222A
• Tel: 3943 3575
• Email:
• Shen Jianhao
• Office: 505 AB1
• Tel: 3943 4298
• 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.

### Assessment Scheme

 Homework 10% Midterm 1 (October 19, 4:30pm-6:15pm) 20% Midterm 2 (November 16, 4:30pm-6:15pm) 20% Final 50%