Linear Algebra

The details
Mathematical Sciences
Colchester Campus
Undergraduate: Level 5
Thursday 03 October 2019
Saturday 14 December 2019
10 April 2019


Requisites for this module


MA204, MA225, MA301, MA323

Key module for

BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year),
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Mathematics and Statistics (Including Foundation Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1G8 Mathematics with Computing (Including Foundation Year),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad)

Module description

This course gives an introduction to abstract linear algebra.

Module aims

Syllabus - An abstract definition and examples of vector spaces - Subspaces, spans and related results - Linearly dependent and linearly independent sets and related results - Bases, dimension and related results - Linear mappings, the image and the kernel, and related results - Coordinates of vectors, matrices of linear mappings, change of basis - The concept of the rank of a matrix and of a linear mapping

Module learning outcomes

On completion of the course students should be able to: - Read and understand advanced abstract mathematical definitions in textbooks and other sources - Prove simple properties of linear spaces from axioms - Check whether a set of vectors is a basis - Check whether a mapping is a linear mapping - Check whether a linear mapping is onto and whether it is one-to-one - Find a matrix of a linear mapping - Change a basis and recalculate the coordinates of vectors and the matrices of mappings

Module information

No additional information available.

Learning and teaching methods

The course runs at 3 hours per week in the Autumn term. In the Summer term 3 revision lectures are given.


This module does not appear to have a published bibliography for this year.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Weighting
Coursework Essay 1 50%
Coursework Essay 2 50%
Exam 120 minutes during Summer (Main Period) (Main)

Overall assessment

Coursework Exam
20% 80%


Coursework Exam
0% 100%
Module supervisor and teaching staff
Dr Alexei Vernitski, email:
Miss Claire Watts, Department Manager, email



External examiner

Dr Tania Clare Dunning
The University of Kent
Reader in Applied Mathematics
Available via Moodle
Of 33 hours, 32 (97%) hours available to students:
1 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).


Further information
Mathematical Sciences

* Please note: due to differing publication schedules, items marked with an asterisk (*) base their information upon the previous academic year.

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