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Linear Algebra 2
| Faculteit | Science and Engineering |
| Jaar | 2020/21 |
| Vakcode | WBMA035-05 |
| 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 Cayley-Hamilton theorem. |
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| 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 Cayley-Hamilton, 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.)) |
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| Toetsvorm |
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, 0.3 ME + 0.7 FE) where FE is the mark for the final exam, ME is the mark for the mid-term exam and G is the final grade. The mid-term mark ME does not count for the re-exam.) |
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| Vaksoort | propedeuse | ||||||||||||||||||||||||
| Coördinator | prof. dr. H.L. Trentelman | ||||||||||||||||||||||||
| Docent(en) | prof. dr. H.L. Trentelman | ||||||||||||||||||||||||
| Verplichte literatuur |
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| Entreevoorwaarden | The course unit assumes prior knowledge acquired from Linear Algebra 1 | ||||||||||||||||||||||||
| Opmerkingen | This course was registered last year with course code WILA2-06 | ||||||||||||||||||||||||
| Opgenomen in |
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