# 401-0131-00L Linear Algebra

Semester | Autumn Semester 2021 |

Lecturers | Ö. Imamoglu, O. Sorkine Hornung |

Periodicity | yearly recurring course |

Language of instruction | German |

Abstract | Introduction to linear algebra (vector spaces, linear transformations, matrices), inner product, determinants, matrix decompositions (LU, QR, eigenvalue and singular value decomposition). |

Objective | - Understand and apply fundamental concepts of linear algebra - Learn about applications of linear algebra |

Content | Linear Algebra: Linear systems of equations, vectors and matrices, norms and scalar products, LU decomposition, vector spaces and linear transformations, least squares problems, QR decomposition, determinants, eigenvalues and eigenvectors, singular value decomposition, applications. |

Lecture notes | Extracts from the lecture notes "Lineare Algebra" (by Gutknecht) in German, with English expressions for all technical terms. |

Literature | Recommendations on the course website |

Prerequisites / Notice | The relevant high school material is reviewed briefly at the beginning. |