MTH219 Linear Algebra (8)


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 Location

Session 2
DistanceAlbury-Wodonga Campus
Continuing students should consult the SAL for current offering details: MTH219
Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.

Subject information

Duration Grading System School:
One sessionHD/FLSchool of Computing and Mathematics

Enrolment restrictions

Not available to students who have completed MTH419 Linear Algebra or equivalent.
Prerequisite(s)Incompatible subject(s)Related subject(s)
MTH101 or MTH129MTH419 MTH419 Paired Subject

Learning Outcomes

Upon successful completion of this subject, students should:
  • be able to explain mathematical concepts of linear algebra such as: vector spaces, inner product spaces, 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;
  • be able to illustrate the use of linear algebra in relation to a number of real world applications.


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 2016 CSU Handbook was accurate at the date of publication: 06 September 2016. The University reserves the right to vary the information at any time without notice.