MTH419 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 postgraduate level linear algebra, as well as matrix algebra are both covered here.


Session 2 (60)
Wagga Wagga Campus

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.

Subject Information

Grading System



One session


School of Computing and Mathematics

Enrolment Restrictions

Available to postgraduate students only.

Not available to students who have completed MTH219 Linear Algebra or equivalent.


MTH101 or MTH129

Incompatible Subjects


Learning Outcomes

Upon successful completion of this subject, students should:
  • be able to investigate and discuss in depth 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;
  • be able to apply and discuss the concepts and processes of linear algebra in relation to a number of real world problems.


This 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 CSU Handbook was accurate at the date of publication: January 2020. The University reserves the right to vary the information at any time without notice.