Mathematics

Linear Algebra

Module code: G5088
Level 4
15 credits in spring teaching
Teaching method: Lecture, Class, Workshop
Assessment modes: Coursework, Unseen examination

In this module, you will cover:

  • matrices
  • elementary row and column operations
  • vector spaces
  • linear independence
  • basis and dimension
  • inner products and orthogonality
  • Gram-Schmidt orthonormalisation process
  • linear transformations
  • determinants
  • eigen-values and eigen-vectors
  • polynomials
  • Cayley-Hamilton theorem
  • quadratic forms.

Module learning outcomes

  • Understand the concept of a vector space and dimension.
  • Solve linear systems of equations using elementary row and column operations on matrices.
  • Calculate determinants of square matrices.
  • Calculate eigen-values and eigen-vectors of square matrices.