## Linear Algebra 1

 Faculteit Science and Engineering Jaar 2022/23 Vakcode WBMA020-05 Vaknaam Linear Algebra 1 Niveau(s) propedeuse Voertaal Engels Periode semester I a ECTS 5 Rooster rooster.rug.nl

Uitgebreide vaknaam Linear Algebra 1
Leerdoelen At the end of the course, the student is able to:
1. reproduce mathematical definitions of all notions studied during the course, such as consistent system, rank, nonsingular matrix, similarity, row/column equivalence, scalar product, eigenvalue, eigenvector etc.
2. prove basic statements of standard linear algebra in a mathematically precise manner.
3. apply major theorems (like rank-nullity theorem) to given instances
4. compute solutions of linear equations, determinant, matrix inverses, eigenvalues, eigenvectors etc.
5. verify if certain basic concepts are applicable (can a given matrix be diagonalized, etc.) to given instances
Omschrijving Linear Algebra 1 deals with fundamental notions and methods of linear algebra from a matrix theory point of view. The first part of the course will cover linear systems of equations, Gauss elimination, matrix algebra, elementary matrices, and determinants. The second one will build upon the first part and will treat eigenvalues/vectors, diagonalization, Hermitian matrices and spectral theory, Jordan canonical form, Cayley-Hamilton theorem, and finally singular value decomposition.
Uren per week
Onderwijsvorm Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
Toetsvorm Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT)
(The grade for this course is determined by the following rules: 1) if FE <4.5 then G=FE 2) if FE>=4.5 then G=max(FE, 0.2 HW + 0.2 ME + 0.6 FE) where FE is the mark for the final exam, ME is the mark for the mid-term exam and HW is the mark for the homework assignments, and G is the final grade.)
Vaksoort propedeuse
Coördinator Prof. Dr. M.K. Camlibel
Docent(en) Prof. Dr. M.K. Camlibel
Verplichte literatuur
Titel Auteur ISBN Prijs
Mandatory: A Second Course in Linear Algebra (Cambridge Mathematical Textbooks)
S.R. Garcia and R.A. Horn (2017 - 1st edition) 978-1107103
Entreevoorwaarden This course is the first Linear Algebra course of the curriculum and builds on high school knowledge of Mathematics.
Opmerkingen This course was registered last year with course code WILA1-06
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