6 THE FUNDAMENTAL PRODUCT OF GEOMETRIC ALGEBRA
We have seen how the outer product and the contraction characterize rather different properties of subspaces: qualitative spanning and quantitative measurements. Together, they have given us an enriched view of the linear algebra of subspaces. This much has been known for some time, and is part of the branch of applied mathematics that is called Grassmann-Cayley algebra.
In this chapter we will start afresh and introduce the basics of Clifford algebra to develop a powerful geometric algebra. This geometric algebra will incorporate operators on subspaces into our framework, and permit us to displace the constructions of the subspace algebra in a structure-preserving manner. The crucial construction ...
Get Geometric Algebra for Computer Science now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
