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.
Note: the solutions (only) are stored on a secure website; registered students can access them after first logging on to Connect.
Section numbers marked § are in Halmos , section numbers marked N are in the course notes above.
|W 8/1||Direct sum and product||§19,§20||Note on infinite dimensions|
|W 15/1||Quotients||§21,§22||PS1 due|
|W 22/1||(continued)||PS2 due|
|F 24/1||Billinear forms||§23|
|4||M 27/1||Tensor products||§24,§25||Note on categories|
|W 29/1||(continued)||PS3 due|
|5||M 3/2||\Sym^n and \wedge^n||§29,§30|
|F 7/2||Motivation||PS4 due; Feedback form|
|6||W 12/2||The minimal polynomial||N 2.2.1|
|F 14/2||Generalized eigenspaces||N 2.2.2||PS5 due|
|M 24/2||Midterm Exam|
|7||W 26/2||Algebraic closure||N 2.2.3|
|F 28/2||Nilpotence||N 2.2.4||PS6 due|
|8||M 3/3||Jordan blocks||N 2.2.4|
|W 5/3||Nilpotent Jordan form||N 2.2.4|
|F 7/3||Jordan canonical form||N 2.2.5|
|9||M 10/3||Vector Norms||§86, N 3.1||PS7 due|
|W 12/3||Matrix Norms||§87, N 3.2|
|10||M 24/3||Power series|
| ||M 16/4||Final exam|