Coursecode: wi135wb
Coursename: Linear algebra
DUT creditpoints: 4
ECTS creditpoints: 6 |
Faculty
of Technical Mathematics and Informatics |
Lecturer(s): Koekoek, dr. R. |
Tel.: 015-2787218 |
Catalog
data:
systems of linear equations, vector and matrix equations, matrix algebra, determinants,
vector spaces, linear transformations, eigenvalues, eigenvectors, inner product,
orthogonality, Gram-Schmidt process, least-squares, symmetric matrices and quadratic
forms. |
Courseyear:
1
Semester: 4/4/0/4/4
Hours p/w: 2/2/0/2/2
Other hours: 2/2/0/2/2
Assessment: Written
Assessm.period(s): 1-6
(see academic calendar) |
Prerequisites:
- |
Follow
up: wi232wb |
Detailed
description of topics:
Systems of linear equations, row reduction and
echelon forms, applications.
Vectors in Rn, the equation Ax= b,
solution sets of linear systems, linear independence, linear transformations, matrix of a
linear transfromation, applications.
Matrix operations, the inverse of a matrix,
characterizations of invertible matrices, matrix factorizations, iterative solutions of
linear systems, applications.
Determinants, properties of determinants, Cramer's
rule, applications.
Vector spaces and subspaces, null spaces, column
spaces and linear trasformations, linearly independent sets, bases, coordinate systems,
dimension of a vector space, rank, change of basis, applications.
Eigenvalues and eigenvectors, characteristic
equation, diagonalization, eigenvectors and linear transformations, iterative estimates
for eigenvalues, applications.
Inner product, length and orthogonality, orthogonal
sets, orthogonal projections, the Gram-Schmidt process, least-squares problems, inner
product spaces, applications.
Diagonalization of symmetric matrices, quadratic
forms, the singular value decomposition, applications.
|
Course
material:
Linear Algebra and Its Applications, David C. Lay,
Addison-Wesley Publishing Company, 1994, ISBN 0-201-52031-1. |
References
from literature:
Linear Algebra and Its Applications, David C. Lay,
Addison-Wesley Publishing Company, 1994, ISBN 0-201-52031-1. |
Remarks
(specific information about assesment, entry requirements, etc.):
Course and exercises |
Goals:
basic course for differential equations, mechanics,
theory of systems, and many other courses. |
Computer
use:
Matlab en Maple |
Laboratory
project(s): |
Design
content: |
Percentage
of design: 0% |