Linear Algebra

Vrije Universiteit Amsterdam

Course Description

  • Course Name

    Linear Algebra

  • Host University

    Vrije Universiteit Amsterdam

  • Location

    Amsterdam, The Netherlands

  • Area of Study

    Algebra

  • Language Level

    Taught In English

  • Course Level Recommendations

    Lower

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • ECTS Credits

    6
  • Recommended U.S. Semester Credits
    3
  • Recommended U.S. Quarter Units
    4
  • Overview

    COURSE OBJECTIVE
    The student becomes familiar with the general theory of finite-dimensional vector spaces, the concepts of matrix algebra and finite-dimensional linear algebra, together with basic applications in statistics, data science and econometrics

    COURSE CONTENT
    The topics include
    - systems of linear equations
    - linear (in)dependence
    - linear transformations and matrices
    - matrix operations
    - determinants
    - vector spaces and subspaces
    - rank of a matrix, dimension theorem
    - eigenvalues and eigenvectors
    - diagonalization of matrices
    - inner product, length and orthogonality
    - orthogonal bases and least-squares problem
    - diagonalization of symmetric matrices
    - quadratic forms
    - singular value decomposition

    TEACHING METHODS
    Main lectures and tutorial classes

    TYPE OF ASSESSMENT
    Written exam.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Some courses may require additional fees.