Handbook

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

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

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

Understand matrix decomposition techniques;

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

Develop and apply tools from linear algebra to a wide variety of relevant situations;

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

Present clear mathematical arguments in both written and oral forms;

Develop and present rigorous mathematical proofs.