The aim of the course is to show both the theoretical and the practical side of the basics in linear algebra and geometry. This will allow the student to obtain a flexible foundation well suited for describing, interpreting and solving problems connected with electronics and telecommunications
teacher profile teaching materials
2- Rows by columns product of matrices; invertible matrices; rank of a matrix; Rouche'-Capelli Theorem.
3- Geometrical vectors. Vector spaces. Subspaces. Generating vectors and linearly independent vectors.
4- Basis of a vector space: dimension of a vector space; Grassmann's formula.
5- Linear applications: Kernel and image of a inear application. Dimension of Kernel and Image of a linear application.
6- Matrix associated to a linear application. Diagonalization of linear operators.
E. Schlesinger: "Algebra lineare e geometria". Zanichelli, 2011
E. Sernesi: "Geometria 1". Bollati Boringhieri, 2019
M. Abate, C. De Fabritiis: "Geometria analitica con elementi di algebra lineare". McGraw-Hill Education, 2015
Programme
1- Linear systems: matrix associated to a linear system; sum of matrices and multiplication by real numbers; reduced matrices; Gauss-Jordan algorithm.2- Rows by columns product of matrices; invertible matrices; rank of a matrix; Rouche'-Capelli Theorem.
3- Geometrical vectors. Vector spaces. Subspaces. Generating vectors and linearly independent vectors.
4- Basis of a vector space: dimension of a vector space; Grassmann's formula.
5- Linear applications: Kernel and image of a inear application. Dimension of Kernel and Image of a linear application.
6- Matrix associated to a linear application. Diagonalization of linear operators.
Core Documentation
F. Flamini; A. Verra: "Matrici e vettori -Corso di base di geometria e algebra lineare" Carocci ed.E. Schlesinger: "Algebra lineare e geometria". Zanichelli, 2011
E. Sernesi: "Geometria 1". Bollati Boringhieri, 2019
M. Abate, C. De Fabritiis: "Geometria analitica con elementi di algebra lineare". McGraw-Hill Education, 2015
Type of delivery of the course
Face-to-face (and streamed) Lectures and Exercise Sessions.Type of evaluation
Final written examination of the duration of 3 hours, with 5 exercises, of which 3 are practical and 2 are theoretical. The exams of the previous years will be available at the homepage of the teacher. The oral exam is facultative for those who want to increase the grade.