chapter  7
78 Pages

Inner Product Spaces

In Chapter 5, we saw the extension and abstraction of many concepts introduced in Chapter 1, in particular the notions of linear independence= dependence, basis, dimension, and subspace. In Chapters 1 through 5, there were occasional references in the text and in the exercises to the dot product, length, angle, and orthogonality applied to vectors in Rn. In this chapter, we return for a deeper, wider look at questions of length, distance, and orthogonality.