THE COURSE AIMS TO PROVIDE AN INTRODUCTION TO THOSE ASPECTS OF LINEAR MATHEMATICS AND GEOMETRY NEEDED IN SCIENCE AND ENGINEERING
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.
Notes from the lectures
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.Notes from the lectures
Type of delivery of the course
Standing lecturesType of evaluation
Written test