University of Rome Tor Vergata

LINEAR ALGEBRA AND GEOMETRY - 9 ECTS

Giuseppe Pareschi 2015-16

In this course the student will be led to an understanding of basic linear algebra by emphasizing the geometric significance of the subject. The main topics will be: matrices, linear maps, determinants, inner product spaces, systems of linear equations, eigenvalues, self-adjoint linear operators and quadratic forms.
Such concepts will be initially studied within the familiar geometry of the plane and of the three-dimensional space, and, afterwards, in the setting of finite-dimensional inner product spaces.

Syllabus