LINEAR ALGEBRA AND GEOMETRY
Learning outcomes of the course unit
Linear Algebra is an essenzial part of the store of mathematicalknowledge required of mathematicians, mathematics teachers, physicistsand statisticians.
That usefulness reflects its importance.
Fundamental topics are provided in order to obtain the base conceptswith which to develop geometries (projectice, affine, affine-euclidean).
Course contents summary
Vectorspaces over a field, subspaces, linear independence, bases , dimension;homomorphisms. Kernel and image.
Matrices, determinants, rank.Linear forms
Eigenvalues , eigenvectorsandmatrix-diagonalization; bilinear symmetric forms, Euclidean vectorial spaces.
V.Mangione, Nozioni di Algebra Lineare, Azzali Parma (1997)
S.Lipschutz-M.Lipson, Algebra Lineare McGraw-Hill 3° edition (2001)
G.Accascina-V.Villani, Esercizi di Algebra Lineare,ETS
Lectures and esercises are carried out. The exam consists of a written an an oral test.