Linear Algebra and Applications

MTH10013 12.5 Credit Points Hawthorn, Sarawak Available to incoming Study Abroad and Exchange students


  • One Semester or equivalent

Contact hours

  • 60 hours face to face + Blended

On-campus unit delivery combines face-to-face and digital learning.

2023 teaching periods


Higher Ed. Semester 1

Higher Ed. Semester 2

27 Feb 23 - 28 May 23

4 Jul 23

Last self enrolment:
12 Mar 23

31 Mar 23

Last withdraw without fail:
14 Apr 23

31 Jul 23 - 29 Oct 23

5 Dec 23

Last self enrolment:
13 Aug 23

31 Aug 23

Last withdraw without fail:
15 Sep 23


Assumed Knowledge
VCE Mathematical Methods or Equivalent

Aims and objectives

This unit of study aims to provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering and science studies 

Unit Learning Outcomes (ULO)
Students who successfully complete this unit will be able to:
1. Perform simple operations involving determinants, the rank of a matrix and its null space (K2).
2. Perform operations with vectors and have a working understanding of vector spaces. Use vectors to calculate scalar and vector products, determine linear (in)dependence of vectors (K2, S1).
3. Use the methods of Gaussian elimination, Cramer’s rule and inverse matrices to solve systems of linear equations and apply them to relevant examples (K2, S1).
4. Describe straight lines and planes in three dimensions and the relationships between them (K2, S1).
5. Use curvilinear coordinates, linear transformations and conversions with parametric forms to solve simple problems. Determine the curvature and radius of curvature for a curve, angular velocity and torque (K2, S1).
6. Use complex numbers to solve equations, describe graphically complex numbers in the Argand plane (K2).
Swinburne Engineering Competencies (A1-7, K1-6, S1-4): find out more about Engineering Skills and Competencies including the Engineers Australia Stage 1 Competencies.