Acquire a good knowledge of the concepts and methods of basic linear algebra, with particular attention given to the study of linear systems, matrices and determinants, vector spaces and linear applications, affine geometry.
Curriculum
teacher profile teaching materials
Programme
Matrices - Linear systems - Vector Spaces - Subspaces - Bases - Dimension - Rank - Determinants - Affine Spaces - Subspaces - Geometry in an affine plane - Geometry in an affine space of dimension 3 - Linear maps - Matrices and linear maps - Change of coordinates - Linear operators and square matrices - Eigenvectors, eigenvalues and their computation - Diagonalization of linear operators and of square matrices via the study of eigenspaces.Core Documentation
E. Sernesi: Geometria I, Bollati Boringhieri (1989)Type of evaluation
The written exam is divided in three exercises, each consisting of some questions. The duration is 3 hours. The oral exam is a presentation of the student, upon request of the professor, of the main theorems and their proofs. teacher profile teaching materials
Programme
Matrices - Linear systems - Vector Spaces - Subspaces - Bases - Dimension - Rank - Determinants - Affine Spaces - Subspaces - Geometry in an affine plane - Geometry in an affine space of dimension 3 - Linear maps - Matrices and linear maps - Change of coordinates - Linear operators and square matrices - Eigenvectors, eigenvalues and their computation - Diagonalization of linear operators and of square matrices via the study of eigenspaces.Core Documentation
E. Sernesi: Geometria I, Bollati Boringhieri (1989)Type of evaluation
The written exam is divided in three exercises, each consisting of some questions. The duration is 3 hours. The oral exam is a presentation of the student, upon request of the professor, of the main theorems and their proofs. teacher profile teaching materials
Programme
Matrices - Linear systems - Vector Spaces - Subspaces - Bases - Dimension - Rank - Determinants - Affine Spaces - Subspaces - Geometry in an affine plane - Geometry in an affine space of dimension 3 - Linear maps - Matrices and linear maps - Change of coordinates - Linear operators and square matrices - Eigenvectors, eigenvalues and their computation - Diagonalization of linear operators and of square matrices via the study of eigenspaces.Core Documentation
E. Sernesi: Geometria I, Bollati Boringhieri (1989)Type of evaluation
The written exam is divided in three exercises, each consisting of some questions. The duration is 3 hours. The oral exam is a presentation of the student, upon request of the professor, of the main theorems and their proofs. teacher profile teaching materials
Programme
Matrices - Linear systems - Vector Spaces - Subspaces - Bases - Dimension - Rank - Determinants - Affine Spaces - Subspaces - Geometry in an affine plane - Geometry in an affine space of dimension 3 - Linear maps - Matrices and linear maps - Change of coordinates - Linear operators and square matrices - Eigenvectors, eigenvalues and their computation - Diagonalization of linear operators and of square matrices via the study of eigenspaces.Core Documentation
E. Sernesi: Geometria I, Bollati Boringhieri (1989)Type of evaluation
The written exam is divided in three exercises, each consisting of some questions. The duration is 3 hours. The oral exam is a presentation of the student, upon request of the professor, of the main theorems and their proofs.