Basic Linear Algebra
Understanding of tools and methods in Linear and Multilinear algebra, with applications to affine spaces and quadratic forms.
General bilinear forms. Symmetric bilinear forms and positivity. Inner products. Metrics and isometries. Projective and complex extensions of the plane. Quadratic forms. Conics.
E. Sernesi, Geometria 1, Boringhieri
Lectures and class exercises.
Written and oral tests. The written test is based on the solution of exercises. The oral test will examine the theoretical basis which determine the methods for the solution of problems.
The web page of the teacher contains downloadable files on some topics of the course.