To show the organization of the course that includes this module, follow this link 
Course organization
The aim is to introduce the basic facts about Linear Algebra and its applications
* 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.
* Elements of analytic geometry in plane and space.
* Conics and quadrics.
Written test
Compiti degli anni precedenti
(pdf, it, 388 KB, 15/01/07)
Dispensa sulle coniche
(pdf, it, 220 KB, 15/01/07)
© 2024 | Verona University
******** CSS e script comuni siti DOL - frase 9957 ********p>
