Mathematics

Linear Algebra 2

Module code: G5138
Level 4
15 credits in spring semester
Teaching method: Lecture, Workshop
Assessment modes: Coursework, Computer based exam

  • 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.