Skip to Content

MA2508: LINEAR ALGEBRA II (2018-2019)

Last modified: 22 May 2019 17:07

Course Overview

Linear algebra is the study of vector spaces and linear maps between them and it is a central subject within mathematics.

It provides foundations for almost all branches of mathematics and sciences in general. The techniques are used in engineering, physics, computer science, economics and others. For example, special relativity and quantum mechanics are formulated within the framework of linear algebra.

The two courses Linear Algebra I and II aim at providing a solid foundation of the subject.

Course Details

Study Type Undergraduate Level 2
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Old Aberdeen Sustained Study No
  • Dr Ellen Henke

Qualification Prerequisites

  • Programme Level 2

What courses & programmes must have been taken before this course?

What other courses must be taken with this course?


What courses cannot be taken with this course?


Are there a limited number of places available?


Course Description

This is the second part of the two parts course on linear algebra. The whole course contains the following topics:

* Fields
* Vector spaces
* Linear maps
* Matrices
* Linear equations
* Eigenvalues and eigenvectors


  • The ring of polynomials with coefficients in a field.
  • The various definitions of the determinant. Properties and methods of calculation. Finding the inverse of a matrix using cofactors.
  • Eigenvalues and eigenvectors of square matrices and of endomorphisms. Properties.
  • Diagonalization
  • Minimal polynomial, characteristic polynomial, Cayley-Hamilton theorem.
  • Orthogonal bases and the Gram-Schmidt procedure.
  • Product spaces, symmetric matrices, orthogonal transformations, unitary transformations.
  • Jordan normal forms if time allows.

In light of Covid-19 this information is indicative and may be subject to change.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

  • 3 Lectures during University weeks 25 - 35
  • 1 Tutorial during University weeks 26 - 35

More Information about Week Numbers

In light of Covid-19 and the move to blended learning delivery the assessment information advertised for second half-session courses may be subject to change. All updates for second-half session courses will be actioned in advance of the second half-session teaching starting. Please check back regularly for updates.

Summative Assessments

1st Attempt

1 two-hour written examination (80%); in-course assessment (20%).

Formative Assessment

There are no assessments for this course.


In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact Course Coordinator for feedback on the final examination.

Course Learning Outcomes


Compatibility Mode

We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.