LINEAR ALGEBRA

Academic year
2022/2023 Syllabus of previous years
Official course title
ALGEBRA LINEARE
Course code
CT0435 (AF:379941 AR:198873)
Modality
On campus classes
ECTS credits
6
Degree level
Bachelor's Degree Programme
Educational sector code
MAT/02
Period
1st Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
The course is one of the basic activities of the Bachelor's Degree in Informatics. It aims at presenting the fundamental ideas of linear algebra, gradually accustoming the student to the abstract concepts of mathematics. A wide variety of geometric and practical applications will accompany the introduction of theoretical notions.
Knowledge and understanding of the fundamental linear algebra topics: linear systems, matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, and geometric and computational applications. Ability to apply this knowledge in solving targeted exercises.
Elementary notions of mathematics of secondary school.
Fields and complex numbers. Linear equations and matrices, operations on matrices, special matrices. Real vector spaces: linear independence, bases and dimension, rank of a matrix.
Inner product, lines and planes. Linear transformations and matrices. Kernel and rank of a linear transformation. The matrix of a linear transformation. Vector space of matrices and linear transformations. Duality. Determinant, inverse matrix. Autovalues and autovectors. Diagonalisation.
Lecturer's slides and material (in italian).

Other book:
A. Facchini, Algebra e Matematica Discreta, Zanichelli 2000.
The exam consists of a written test with theoretical and practical exercises aimed at verifying the acquisition of the required skills.
Lectures delivered in presence.
A tutoring activity devoted to the resolution of exercises is planned.
Italian
written
Definitive programme.
Last update of the programme: 26/08/2022