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: 39437975
 Email:
Teaching Assistant

Ip Tsz Lok
 Office: SC 333B
 Email:

Zhu Zhipeng
 Office: LSB 222B
 Tel: 39437963
 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 GramSchmidt process, adjoint, normal and selfadjoint 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 20240913 before 23:59) Last update: 6/9/2024
 Homework 2 (Due on 20240920 before 23:59)
 Homework 3 (Due on 20240927 before 23:59)
 Homework 4 (Due on 20241004 before 23:59)
 Homework 5 (Due on 20241018 before 23:59)
Solutions
Assessment Scheme
Homework  10%  
Midterm 1 (October 10, 4:30pm6:15pm in class)  20%  
Midterm 2 (November 14, 4:30pm6:15pm in class)  20%  
Final (TBA)  50% 
Honesty in Academic Work
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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