19201401
Lecture
SoSe 23: Linear Algebra I
Dirk Peschka
Comments
Content:
- Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
- fields
- Linear equation systems: solvability criteria, Gauss algorithm
- Vector spaces: linear independence, generating systems and bases, dimension,
- subspaces, quotient spaces, cross products in R3
- Linear maps: image and rank, relationship to matrices, behaviour under
- change of basis
- Dual vector spaces: multilinear forms, alternating and symmetric bilinear
- forms, relationship to matices, change of basis
- Determinants: Cramer's rule, Eigenvalues and Eigenvectors
Prerequisites:
Participation in the preparatory course (Brückenkurs) is highly recommended.
close
Suggested reading
- Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
- Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
- Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;
Zu den Grundlagen
- Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012
28 Class schedule
Additional appointments
Fri, 2023-07-28 12:00 - 14:00Klausur Lineare Algebra I
Thu, 2023-10-05 10:00 - 13:00
Klausur (Nachtermin Lineare Algebra I)
Regular appointments
Tue, 2023-04-18 12:00 - 14:00
Lineare Algebra I
Tue, 2023-04-25 12:00 - 14:00
Lineare Algebra I
Tue, 2023-05-02 12:00 - 14:00
Lineare Algebra I
Tue, 2023-05-09 12:00 - 14:00
Lineare Algebra I
Tue, 2023-05-16 12:00 - 14:00
Lineare Algebra I
Tue, 2023-05-23 12:00 - 14:00
Lineare Algebra I
Tue, 2023-05-30 12:00 - 14:00
Lineare Algebra I
Tue, 2023-06-06 12:00 - 14:00
Lineare Algebra I
Tue, 2023-06-13 12:00 - 14:00
Lineare Algebra I
Tue, 2023-06-20 12:00 - 14:00
Lineare Algebra I
Tue, 2023-06-27 12:00 - 14:00
Lineare Algebra I
Tue, 2023-07-04 12:00 - 14:00
Lineare Algebra I
Tue, 2023-07-11 12:00 - 14:00
Lineare Algebra I
Tue, 2023-07-18 12:00 - 14:00
Lineare Algebra I
Fri, 2023-04-21 10:00 - 12:00
Lineare Algebra I
Fri, 2023-04-28 10:00 - 12:00
Lineare Algebra I
Fri, 2023-05-05 10:00 - 12:00
Lineare Algebra I
Fri, 2023-05-12 10:00 - 12:00
Lineare Algebra I
Fri, 2023-05-19 10:00 - 12:00
Lineare Algebra I
Fri, 2023-05-26 10:00 - 12:00
Lineare Algebra I
Fri, 2023-06-02 10:00 - 12:00
Lineare Algebra I
Fri, 2023-06-09 10:00 - 12:00
Lineare Algebra I
Fri, 2023-06-16 10:00 - 12:00
Lineare Algebra I
Fri, 2023-06-23 10:00 - 12:00
Lineare Algebra I
Fri, 2023-06-30 10:00 - 12:00
Lineare Algebra I
Fri, 2023-07-07 10:00 - 12:00
Lineare Algebra I
Fri, 2023-07-14 10:00 - 12:00
Lineare Algebra I
Fri, 2023-07-21 10:00 - 12:00
Lineare Algebra I