Linear Algebra (2009/2010)

Course code
Name of lecturer
Enrico Gregorio
Enrico Gregorio
Number of ECTS credits allocated
Other available courses
Academic sector
Language of instruction
1st Semester dal Oct 1, 2009 al Jan 31, 2010.

Lesson timetable

1st Semester
Day Time Type Place Note
Tuesday 1:30 PM - 2:30 PM lesson Lecture Hall Gino Tessari  
Wednesday 11:30 AM - 1:30 PM lesson Lecture Hall Gino Tessari  
Thursday 10:30 AM - 12:30 PM lesson Lecture Hall Gino Tessari  

Learning outcomes

Introduction to the fundaments of Linear Algebra with some applications.


* Matrices and linear systems: matrices, operations on matrices, systems of linear equations, Gauss elimination, inverses of matrices, LU factorization.
* Vector spaces: definition and examples, subspaces, generators. Linearly dependent and independent vectors, bases, dimension.
* Linear maps and associated matrices: composition of linear maps and matrix multiplication, change of basis, kernel and image of a linear map, rank of matrices, dimension formula.
* Inner products and orthogonality: inner product of vectors, orthogonal and orthonormal bases, orthogonal projections, Gram-Schmidt algorithm.
* Canonical forms: eigenvalues and eigenvectors, characteristic polynomial, algebraic and geometric multiplicity, diagonalizability criteria.

Assessment methods and criteria

Written test

Teaching aids