University of Technology Sydney

37233 Linear Algebra

6cp; 2hpw (lectures, online), 2hpw (workshops, on campus) Forms of attendance in this subject may change to enable social distancing and reduce the risks of spreading COVID-19 in our community. Consequently, the Subject Outline information for this subject may change. Details of the changes are published in an Addendum to the Subject Outline which is available through your LMS (Canvas).
Requisite(s): 35101 Introduction to Linear Dynamical Systems OR 37131 Introduction to Linear Dynamical Systems OR 33230 Mathematics 2 OR 33290 Statistics and Mathematics for Science
These requisites may not apply to students in certain courses. See access conditions.
Anti-requisite(s): 35212 Computational Linear Algebra


In this subject, students develop an understanding of the theory of linear algebra, applications of linear algebra, and some of the main computational techniques used in these applications. Topics include systems of linear equations (LU factorisation and iterative methods); vector spaces; inner product spaces; Gram-Schmidt orthogonalisation, QR decomposition; approximation theory: least squares and orthogonal polynomials; the eigenvalue problem; singular value decomposition and applications.

Typical availability

Autumn 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.