MTH419 Linear Algebra (8)
CSU Discipline Area: Mathematics and Statistics (MASTA)
Duration: One session
Abstract:
This subject builds on matrix algebra covered in previous studies and includes the topics vector spaces, subspaces, linear transformations, eigenvalues and eigenvectors, inner products and orthonormal bases. Applications of linear algebra are also considered.
+ Subject Availability Modes and Locations
| Session 2 | |
|---|---|
| Distance | Bathurst |
Continuing students should consult the SAL for current offering details: MTH419
Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.
Prerequisite(s):
Enrolment restrictions:
Not available to students who have completed MTH219 Linear Algebra or equivalent.
Objectives:
Upon successful completion of this subject, students should:
Be able to demonstrate understanding, at a postgraduate level, of the mathematical concepts of linear algebra such as: vector spaces, inner products, linear transformations, eigenvalues and eigenvectors.
Be able to apply the processes of linear algebra to solve particular problems including: solving systems of linear equations, inverting a matrix, finding eigenvalues and eigenvectors, applications to imaging and computer graphics.
Syllabus:
The subject will cover the following topics:
Review of vectors in R2 and R3, matrices, determinants, solution of systems of linear equations; Vector spaces, subspaces, bases and dimension; Inner products and orthonormal bases; Linear transformations, matrix representation of a linear transformation; Eigenvalues and eigenvectors; Selected applications of linear algebra.
The information contained in the 2013 CSU Handbook was accurate at the date of publication: 24 April 2013. The University reserves the right to vary the information at any time without notice.