Degree in Computer Science
Linear Algebra (2011/2012)
| Course code |
4S00002 |
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Teacher
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Enrico Gregorio
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Coordinator
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Enrico Gregorio
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training credits
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6
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Other available courses
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Degree in Bioinformatics
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| Disciplinary sector |
MAT/02 - Algebra
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| Teaching language |
Italian |
| Period |
I semestre dal Oct 3, 2011 al Jan 31, 2012.
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| Links |
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Lecture timetable
Educational objectives
Introduction to the fundaments of Linear Algebra with some applications.
Syllabus
* 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.
Exam methods
Written test
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