- Docente: Ferdinando Zanchetta
- Credits: 6
- SSD: MAT/03
- Language: English
- Teaching Mode: In-person learning (entirely or partially)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Genomics (cod. 6619)
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from Oct 07, 2025 to Dec 16, 2025
Learning outcomes
: By the end of the course, the successful student has the ability to perform basic operations with vectors and matrices, to compute determinants, to compute Eigen values and Eigen vectors and to solve linear systems.
Course contents
This linear algebra course begins with the study of linear systems and matrix methods, including the Gauss algorithm. It then introduces the notions of vector space and subspace, followed by the notions of linear combination and independence. Students learn how to identify bases and to understand the concept of dimension.
Then linear transformations are introduced, their matrix representations, and key concepts such as kernel, image, and important theorems such as the rank-nullity theorem or the Rouche-Capelli theorem are discussed. Determinants, the concept of inverse of a matrix and their relation with linear transformations will then be introduced, along with methods for their computations (Laplace method, etc).
Finally, the topic of change of basis will be introduced and studied and in addition eigenvalues and eigenvectors are studied with a focus on diagonalizability.
Readings/Bibliography
Linear Algebra, R. Fioresi, M. Morigi CEA.
Teaching methods
Lectures.
Assessment methods
The exam will consist of two parts:
- A 3-hour written exam, in which students will be asked to solve exercises and answer questions related to the theory.
- An oral exam, complementing the written part, covering the topics discussed during the course.
Office hours
See the website of Ferdinando Zanchetta