This appendix contains short answers to those footnotes that are in the form of a question. They have been deliberately placed away from the questions so as to encourage the reader to formulate their own response, as they would be expected to do in a supervision or tutorial, before seeking confirmation. It should be remembered that the questions, typically requiring only brief answers, are normally designed to test whether a particular point in the main text, which may in itself be a relatively small one, has been correctly grasped. Thus some answers may seem trivial to the reader – if they do, so much the better!
1. Matrices and vector spaces