Advanced Linear Algebra, Lecture 1.1: Vector spaces and linearity
The fundamental objects in linear algebra are vector spaces, which consist of a X of vectors closed under addition, subtraction, and scalar multiplication from a field K. Linear maps are structure preserving functions between vector spaces. In this lecture, we see the formal definitions and some examples of vector spaces and subspaces.
Course webpage: http://www.math.clemson.edu/~macaule/math8530-online.html