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Root number
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765 |
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Semester
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FS2024 |
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Type of course
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Lecture |
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Allocation to subject
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Mathematics |
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Type of exam
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not defined |
| Title |
Linear Algebra 2 |
| Description |
Linear maps, change of basis, normal form of a linear map, dimension formula,
problem of choice of basis for an endomorphism, invariant subspaces, eigenvalues and eigenvectors, diagonalizabilizy, characteristic polynomial, minimal polynomial of a vector wrt an endomorphism, Caley-Hamilton, minimal polynomial of an endomorphism, Jordan normal form for endomorphisms whose minimal polynomial
splits in linear factors,
Isometries of Rn, rotations of R2 and R3 and orthogonal matrices, linear systems of ODE's with constant coefficients, exponential map for complex matrices,
bilinear forms, symmetric bilinear forms, Gram-Schmid Orthogonalization, orthogonal basis for real symmetric bilinear forms, Sylvesters theorem, spectral theorems for hermitian and normal endomorphisms, symplectic forms, conic sections, principal axis theorem, proof of the friendship theorem |
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ILIAS-Link (Learning resource for course)
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Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible).
ILIAS
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Link to another web site
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| Lecturers |
Prof. Dr.
Werner Frank Kutzschebauch, Institute of Mathematics ✉
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ECTS
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7 |
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Recognition as optional course possible
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Yes |
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Grading
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1 to 6 |
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| Dates |
Monday 08:15-10:00 Weekly
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Friday 11:15-12:00 Weekly
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Tuesday 10/9/2024 08:00-09:30
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Tuesday 11/2/2025 13:30-15:00
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| Rooms |
Hörsaal A006, Exakte Wissenschaften, ExWi
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| Students please consult the detailed view for complete information on dates, rooms and planned podcasts. |
User:
Öffentlicher Bereich
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