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## Linear Algebra

2018-2019

### Course Objective

After successfully completing this course,
- the student has a working knowledge of the concepts of matrix algebra
and finite-dimensional linear algebra, such as echelon form,
lu-decomposition, linear independence, determinants
- the student is familiar with the general theory of finite-dimensional
vector spaces, in particular with the concepts of basis and dimension
- the student is familiar with the concepts of eigenvalues and
eigenvectors, diagonalization
and singular value decomposition and can apply these concepts in basic
applications in
discrete time dynamical systems,
- has working knowledge of the concepts of inner product spaces and
matrices acting in inner product spaces,
including orthogonal projections and diagonalization of symmetric
matrices.

### Course Content

- systems of linear equations
- linear (in)dependence
- linear transformations and matrices
- matrix operations
- determinants
- vector spaces and subspaces
- basis and dimension
- rank of a matrix, dimension theorem
- coordinate systems and change of basis
- eigenvalues and eigenvectors
- diagonalization of matrices
- inner product, length and orthogonality
- orthogonal bases and least-squares problem
- diagonalization of symmetric matrices
- singular value decomposition

### Teaching Methods

2 lectures and 1 exercise class per week

### Method of Assessment

Six bi-weekly tests (20 percent, only the best five are taken into
account), a midterm exam (40 percent) and a final exam (40 percent).
There is a resit. For students taking the resit the final grade is
determined by the maximum of the following two numbers: 0.2 times the
average of the best five tests plus 0.8 times the result of the resit
and just the resit.

### Literature

David C. Lay, Stephen R. Lay and Judi J. McDonald, Linear Algebra and
its Applications, 5th edition, Pearson Global Edition, ISBN-13
9781292092232

1BA

### General Information

Course Code X_400042 6 EC P4+5 100 English Faculty of Science S. de Jong prof. dr. A.C.M. Ran S. de Jong

### Practical Information

You need to register for this course yourself

Last-minute registration is available for this course.

Teaching Methods Seminar, Lecture
Target audiences

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