University of Technology Sydney

68105 Algebra

6cp; 2 hpw (lecture, online), 2hpw (tutorial, online), 2-3hpw (written homework and assessments)
Requisite(s): 68102 Mathematics for Secondary Education Foundations
These requisites may not apply to students in certain courses. See access conditions.
Anti-requisite(s): 37233 Linear Algebra


In this subject, students develop an understanding of the theory and skills in applying algebra and linear algebra.

Topics include solving systems of linear equations, defining and working with matrices, matrix algebra including inverses, determinants, elementary matrices, decomposition methods for matrices including LU factorisation, diagonalisation and singular value decompositions, vector spaces and subspaces, span, dimension and linear independence, applications to solving second order and coupled systems of differential equations, complex numbers.

Typical availability

Spring session, City campus

Detailed subject description.

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at access conditions and My Student Admin.