This is a second course in linear algebra, intended for honours students. There is no required textbook. The book by Halmos is very good, covers nearly everything, and is 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 [1], section numbers marked N are in the course notes above.
Week  Date  Material  Reading  Notes 

1  Th 7/9  Introduction  §1,§2  
2  T 12/9  Direct sum and product  §19,§20  Note on infinite dimensions 
Th 14/9  (continued)  PS1 due  
3  T 19/9  Quotients  §21,§22  
Th 21/9  Duality  §13,§15  PS2 due  
4  T 26/9  Bilinear forms Tensor Products 
§23 §24,§25 

Th 28/9  (continued)  
5  T 3/10  \Sym^n and \wedge^n  §29,§30  
Th 5/10  (continued)  PS4 due; Feedback form  
6  T 10/10  Motivation The minimal polynomial 
N2.1 N2.2 

Th 12/10  Generalized eigenspaces  N2.3  PS5 due  
7  T 17/10  CayleyHamilton Jordan Blocks 
N 2.3 §57, N 2.4 

Th 19/10  Midterm exam  
8  T 24/10  Nilpotent Jordan form Jordan canonical form 
§57, N 2.4 §58, N 2.5 

Th 26/10  Vector Norms  §86, N 3.1  PS6 due  
9  T 31/10  Matrix Norms Power Method 
§87, N 3.2 N 3.3 

Th 2/11  Completeness  N 3.4  PS7 due  
10  T 7/11  Series  N 3.4  
Th 9/11  Power series The Resolvent 
N 3.5 N 3.6 
PS8 due  
11  T 14/11  Holomorphic calculus  N 3.7  
Th 16/11  Composition  N 3.7  PS9 due  
12  T 21/11  
Th 23/11  PS10 due  
13  T 28/11  
Th 30/11  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 06, 2017