Linear Algebra I
Alexander Schmitt
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.
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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
32 Class schedule
Regular appointments
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
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