MATH 3510 Chapter Notes - Chapter 13: John Wiley & Sons, Euclidean Vector, Linear Algebra
Document Summary
By axiom 5 the vector 0u has a negative, Adding this negative to both sides above yields or. This section of the text is very important to the overall plan of linear algebra in that it establishes a common thread between such diverse mathematical objects as geometric vectors, vectors in. , infinite sequences, matrices, and real-valued functions, to name a few. As a result, whenever we discover a new theorem about general vector spaces, we will at the same time be discovering a theorem about geometric vectors, vectors in. , sequences, matrices, real-valued functions, and about any new kinds of vectors that we might discover. To illustrate this idea, consider what the rather innocent-looking result in part (a) of theorem 4. 1. 1 says about the vector space in example 8. Concept review: vector space, closure under addition, closure under scalar multiplication, examples of vector spaces.
