MTH2021 Linear algebra with applications

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

1. 1

   Apply basic concepts related to vector spaces, including subspace, span, linear independence and basis;

2. 2

   Understand basic properties of linear transformations and identify their kernel and range;

3. 3

   Diagonalize real matrices by computing their eigenvalues and finding their eigenspaces;

4. 4

   Understand basic concepts related to inner product spaces and apply these to problems such as least-squares data fitting;

5. 5

   Apply tools from linear algebra in a wide variety of relevant situations;

6. 6

   Recognise and apply relevant numerical methods and demonstrate computational skills in linear algebra;

7. 7

   Present clear mathematical arguments in both written and oral forms.