( english version )

Geometria e ricerca operativa A ( 5 CFU ) Tel. 0521-032321 - Fax. 0521-032350 E-mail. lorenzo.nicolodi@unipr.it Home page. http://www.unipr.it/~lnicolo9/

Finalità

The course is aimed at providing students with the basic concepts of

linear algebra. On completion of this module, students should be able to:

a) deal with and solve elementary problems in linear analytic geometry,

b) operate with matrices and solve systems of linear equations,

c) solve simple aigenvalue problems.

linear algebra. On completion of this module, students should be able to:

a) deal with and solve elementary problems in linear analytic geometry,

b) operate with matrices and solve systems of linear equations,

c) solve simple aigenvalue problems.

Programma

1. Linear analytic geometry in Euclidean space: space vectors, scalar

product, vector cross product, lines, planes, and their reciprocal positions.

2. Vectors, matrices, linear systems: R^n as a vector space, operations

on matrices, determinants, rank, linear systems, dependent and independent

vectors, basis of a vector space, dimension.

3. Linear transformations and diagonalization: change of coordinates,

matrices and linear transformations, eigenvalues, eigenvectors, diagonalization.

product, vector cross product, lines, planes, and their reciprocal positions.

2. Vectors, matrices, linear systems: R^n as a vector space, operations

on matrices, determinants, rank, linear systems, dependent and independent

vectors, basis of a vector space, dimension.

3. Linear transformations and diagonalization: change of coordinates,

matrices and linear transformations, eigenvalues, eigenvectors, diagonalization.

Attività d'esercitazione

Discussion and solution of exercises and assignments.

Modalità d'esame

Written and oral exam

Propedeuticità

secondary school mathematics

Testi consigliati

L. Alessandrini, L. Nicolodi, Geometria A, UNI.NOVA, Parma, 2002.