Time  Location  Zoom Meeting ID  Zoom Password 

T 9:3010:00  ORCH 3009  N/A  N/A 
Th 9:3011:00  ORCH 3009 and on Zoom  694 6667 3745  914585 
F 11:4513:00  at PIMS and on Zoom  676 1308 4912  139267 
This is a second course in linear algebra, intended for honours students. There is no required textbook. The books by Roman and Halmos are both very good, cover most of the material, and are available in PDF form from the publisher for anyone on the UBC network; a lot of the material can also be found in any "abstract algebra" textbook. More details may be found in the syllabus.
For your edification
Section numbers marked § are in Halmos [2], section numbers marked N are in the course notes above.
Warning: the following information is tentative and subject to change at any time
Week  Date  Material  Reading  Notes 

1  Th 5/9  Introduction  §1,§2  
2  T 10/9  Direct sum and product  §19,§20  Note on infinite dimensions 
Th 12/9  (continued)  PS1 due  
3  T 17/9  Quotients  §21,§22  
Th 19/9  Duality  §13,§15  
4  T 24/9  (continued) Bilinear forms 
§23 
PS2 due 
Th 26/9  Tensor products  §24,§25  
5  T 1/10  (continued)  PS3 due  
Th 3/10  Extension of Scalars  Feedback form  
6  T 8/10  \Sym^n and \wedge^n  §29,§30  PS4 due 
Th 10/10  (continued)  
7  T 15/10  Motivation The minimal polynomial 
N2.1 N2.2 
PS5 due 
Th 17/10  Generalized eigenspaces  N2.3  
8  T 22/10  CayleyHamilton  N 2.3  PS6 due 
Th 24/10  Jordan Blocks Nilpotent Jordan Form 
§57, N 2.4  
T 29/10  Nilpotent Jordan form Jordan canonical form 
§57, N 2.4 §58, N 2.5 

9  Th 31/10  Vector Norms  §86, N 3.1  
T 5/11  Matrix Norms Power Method 
§87, N 3.2 N 3.3 
PS7 due  
10  Th 7/11  Completeness  N 3.4  
T 12/11  Series  N 3.4  
11  Th 14/11  Power series The Resolvent 
N 3.5 N 3.6 

T 19/11  Holomorphic calculus  N 3.7  PS8, PS9 due  
12  Th 21/11  Composition  N 3.7  
T 26/11  PS10 due  
13  Th 28/11  Review  
TBA  Final exam 
Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.
Last modified Wednesday December 11, 2019