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Department of Mathematics

Linear Algebra 2 (G5138)

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Linear Algebra 2

Module G5138

Module details for 2025/26.

15 credits

FHEQ Level 4

Module Outline

• Vectors spaces. Subspaces, bases, inner products.
• Linear transformations. Rank/Nullity, matrices of linear maps, change of basis.
• Eigenvalues/Eigenvectors. Jordan normal form, diagonalisation.
• Special classes of linear transformations and their matrices.

Module learning outcomes

Appreciate the structure of vectors spaces as abstract objects;

Understand the properties of linear transformations between vector spaces and their matrices;

Demonstrate working knowledge of calculating eigenvalues/eigenvectors, and vectors/matrices in different bases.

TypeTimingWeighting
Coursework10.00%
Coursework components. Weighted as shown below.
Problem SetT2 Week 4 25.00%
Problem SetT2 Week 6 25.00%
Problem SetT2 Week 9 25.00%
Problem SetT2 Week 11 25.00%
Coursework10.00%
Coursework components. Weighted as shown below.
PortfolioT2 Week 11 100.00%
Unseen ExaminationSemester 2 Assessment80.00%
Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

TermMethodDurationWeek pattern
Spring SemesterLecture2 hours11111111111
Spring SemesterWorkshop2 hours01111111111
Spring SemesterLecture1 hour11111111111
Spring SemesterClass1 hour11111111111

How to read the week pattern

The numbers indicate the weeks of the term and how many events take place each week.

Dr Lukas Koch

Assess convenor, Convenor
/profiles/634665

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The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.