Definition of vector, equality of vectors, vector addition, and scalar vector multiplication. Geometric and algebraic properties of vector addition are discussed. (need a topic on vector addition is commutative and associative)
University of Waterloo Math Online -
Slides for the accompanying video from University of Waterloo.
In this section we define some new operations involving vectors, and collect some basic properties of these operations. Begin by recalling our definition of a column vector as an ordered list of complex numbers, written vertically (Definition CV). The collection of all possible vectors of a fixed size is a commonly used set, so we start with its definition.
Pre-class quiz (five questions) on vector operations, to be completed by students after having watched a pre-class video on the topic.