Linear Algebra 2 (G5138)

15 credits, Level 4

Spring teaching


Linear Algebra 2 follows on from Linear Algebra 1 by extending the geometrical concepts into more abstract settings. For example, you have seen vectors as geometrical objects in two- or three-dimensional space in Linear Algebra 1, but we can now generalise the concept of a vector space to a more abstract setting.

Similarly, examples of linear transformations are rotations or multiplication of vectors by a scalar; again, this can be defined in a more general setting and be characterised by the multiplication with a matrix.

When given a linear transformation, we would like to identify certain directions that are multiplied by a certain scalar, this leads to the definition of eigenvectors and eigenvalues, which are important concepts that you will encounter in other modules in higher years.


77%: Lecture
23%: Practical (Workshop)


20%: Coursework (Portfolio, Problem set)
80%: Examination (Unseen examination)

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 42 hours of contact time and about 108 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2023/24. However, there may be changes to these modules in response to COVID-19, staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.


This module is offered on the following courses: