
Chapter 2
Linear Algebra?
Daniel Cohen-Or, Olga Sorkine-Hornung and Chen Greif
Our guess is that the term linear algebra means, for many of us,
the name of a first-year undergraduate course, whose fundamen-
tal importance and benefit for solving geometric problems are not
apparent to those taking it. In a linear algebra course, we are
introduced to notions such as vector space, orthogonal basis, sub-
spaces, eigenvalues and eigenvectors. Are these really useful?
Figure 2.1: Aligning the two shapes by minimizing the distance of cor-
responding landmark points.
Is there a close relation between linear algebra and geometry?
The answers will probably be obvious ...