Linear Algebra 2
Faculteit  Science and Engineering 
Jaar  2017/18 
Vakcode  WILA206 
Vaknaam  Linear Algebra 2 
Niveau(s)  propedeuse 
Voertaal  Engels 
Periode  semester II a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Linear Algebra 2  
Leerdoelen  After this course the student is able to: 1. reproduce definitions and give examples of the basic concepts in linear algebra as discussed in the course book. 2. verify if certain basic characteristics or basic concepts in linear algebra are applicable (can a given matrix be diagonalized, etc.) using standard examples. 3. discuss the development of part of a theory in linear algebra (for example, why can symmetrical matrices be diagonalized, or how is the symmetrical matrices theory used when classifying quadrics). 4. reproduce and to apply the theorems in linear algebra discussed in the course book. Be able to reproduce the proof for the important theorems. 5. reproduce an extension of the diagonalization theory discussed in the course book: the Jordan canonical form and the CayleyHamilton theorem. 

Omschrijving  This course provides a deepening of the topics that have already been covered in Linear Algebra 1. The emphasis will be on building a systematic theory rather than on numerical calculations as in Linear Algebra 1. Topics covered in this course include: Diagonalization and the theorem of CayleyHamilton, the Jordan normal form, inner product spaces and applications (orthogonal, normal, Hermitian, positive definite, positive linear transformations), special polynomials, singular value decomposition, the exponential of a matrix, and quadratic forms.  
Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Werkcollege (T)
((4 hours of lectures and 4 hours of tutorials per week.)) 

Toetsvorm 
Schriftelijk tentamen (WE)
(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, 0.3 ME + 0.7 FE) where FE is the mark for the final exam, ME is the mark for the midterm exam and G is the final grade. The midterm mark ME does not count for the reexam.) 

Vaksoort  propedeuse  
Coördinator  prof. dr. H.L. Trentelman  
Docent(en)  prof. dr. H.L. Trentelman  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes prior knowledge acquired from Linear Algebra 1  
Opmerkingen  The subjects “CayleyHamilton theorem” and “Jordan canonical form” are not contained in the book.Supplementary material for these subjects will be available on Nestor.  
Opgenomen in 
