MTH2025 Linear algebra (Advanced)

When you finish this unit, you should be able to:

1. 1

   Apply core concepts of vector spaces and linear transformations to model and solve mathematical problems;

2. 2

   Analyse and compute eigenvalues, eigenvectors, and diagonalisation, and interpret their applications;

3. 3

   Employ inner product methods, matrix decompositions, and computational tools to address applied problems such as least-squares approximation;

4. 4

   Communicate mathematical reasoning clearly and effectively in both written and oral forms;

5. 5

   Extend and deepen understanding through rigorous proofs, advanced theoretical concepts, and more complex applications of linear algebra.