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  PS2 due  
4  T 24/9  (continued) Bilinear forms 
§23 

Th 26/9  Tensor products  §24,§25  PS3 due  
5  T 1/10  (continued)  
Th 3/10  Extension of Scalars  PS4 due; Feedback form  
6  T 8/10  \Sym^n and \wedge^n  §29,§30  
Th 10/10  (continued)  PS5 due  
7  T 15/10  Motivation The minimal polynomial 
N2.1 N2.2 

Th 17/10  Generalized eigenspaces  N2.3  PS6 due  
8  T 22/10  CayleyHamilton Jordan Blocks 
N 2.3 §57, N 2.4 

Th 24/10  Midterm exam  
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  PS7 due 
T 5/11  Matrix Norms Power Method 
§87, N 3.2 N 3.3 

10  Th 7/11  Completeness  N 3.4  PS8 due 
T 12/11  Series  N 3.4  
11  Th 14/11  Power series The Resolvent 
N 3.5 N 3.6 
PS9 due 
T 19/11  Holomorphic calculus  N 3.7  
12  Th 21/11  Composition  N 3.7  PS10 due 
T 26/11  
13  Th 28/11  Review  PS11 due  
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 Monday September 16, 2019