MATH30030 Advanced Linear Algebra

Academic Year 2022/2023

In this module we introduce and develop some of the more advanced ideas in Linear Algebra. A sample of topics covered are: review of polynomials, endomorphism algebras, eigenvalues and eigenvectors, matrix algebras, direct sums of subspaces, the primary decomposition theorem, reduction to triangular form, reduction to Jordan form, dual spaces, special topics (time permitting: tensor products, adjoints, bilinear forms).

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Curricular information is subject to change

Learning Outcomes:

On completion of this module, the student is expected to:- demonstrate an understanding of the theoretical aspects covered in this module;- be able to carry out any computations involving the objects described in this module (such as finding the characteristic and minimal polynomials of an endomorphism, determining if a given endomorphism is diagonalizable, reducing a matrix to triangular form, reducing a matrix to Jordan normal form, for example).

Student Effort Hours: 
Student Effort Type Hours




Specified Learning Activities


Autonomous Student Learning




Approaches to Teaching and Learning:
Problem-based learning via lectures, tutorials, a midterm and a final exam. 
Requirements, Exclusions and Recommendations

Not applicable to this module.

Module Requisites and Incompatibles
Not applicable to this module.
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Class Test: Class tests/Homework (2 x 20% each) Unspecified n/a Alternative linear conversion grade scale 40% No


Examination: Final Exam 2 hour End of Trimester Exam No Alternative linear conversion grade scale 40% No


Carry forward of passed components
Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.