Linear Algebra (2007/2008)

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Course code
4S00002
Name of lecturer
Enrico Gregorio
Number of ECTS credits allocated
6
Academic sector
MAT/02 - ALGEBRA
Language of instruction
Italian
Period
1° Q - solo 1° anno dal Oct 15, 2007 al Nov 30, 2007.

Lesson timetable

1° Q - solo 1° anno
Day Time Type Place Note
Tuesday 12:30 PM - 2:30 PM lesson Lecture Hall Gino Tessari  
Wednesday 2:30 PM - 4:30 PM lesson Lecture Hall D  
Thursday 2:30 PM - 4:30 PM lesson Lecture Hall Gino Tessari  
Friday 12:30 PM - 2:30 PM lesson Lecture Hall D  

Learning outcomes

The aim is to introduce the basic facts about Linear Algebra and its applications

Syllabus

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

Assessment methods and criteria

Written test

Teaching aids

Documents

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