- Docente: Luca Migliorini
- Credits: 9
- Language: Italian
- Moduli: Luca Migliorini (Modulo 1) Enrico Fatighenti (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
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from Sep 18, 2023 to Dec 22, 2023
Learning outcomes
The goal of the course is to introduce the first notions of linear algebra and begin the study of the normal form of an endomorphism
Course contents
Fields and rings
Vector spaces over fields
Subspaces, bases, dimension, grassmann formula
Linear maps
Matrices associated with linear maps
Dimension of Ker and Im
Systems of linear equations
change of bases
Eigenvalues and eigenvectors of an endomorphism
characteristic polynomial
Conjugate matrices
Diagonalizability
Hom(V,W) and the dual space
The quotient space by a subspace
TRiangolability of an endomorphism
Readings/Bibliography
Marco Manetti: Algebra lineare per matematici. Available online
Teaching methods
Lectures at the blackboard
Assessment methods
Written exam followed by an oral exam
Office hours
See the website of Luca Migliorini
See the website of Enrico Fatighenti