In this lecture, we learn what a vector space is and we see some of the standard examples including R^n, the set of real-valued functions, and the set of matrices.
Textbook: http://www.njohnston.ca/publications/advanced-linear-and-matrix-algebra/
Blank course notes (lectures 1-4): http://www.njohnston.ca/ala_week1.pdf
Annotated course notes (lectures 1-4): http://www.njohnston.ca/ala_week1_annotated.pdf
Please leave a comment below if you have any questions, comments, or corrections.
Corrections:
- Of course, the very first thing I say in this entire lecture series is wrong. This course is MATH 3221 at Mount Allison, not MATH 3211.
Timestamps:
00:00 - Introduction
8:27 - Vector spaces
16:50 - R^n
21:35 - Function space
26:12 - Matrix space
28:08 - A weird vector space