THE UNIVERSITY OF MANCHESTER
LINEAR ALGEBRA A
2 June 2010
9.45 a.m. -- 12.45 p.m.
Answer all questions in Section A (100 marks in all) and
two of the four questions in Section B (40 marks each).
The use of electronic calculators is not permitted.
In Part B you will receive marks only on the two problems you attempt; if you attempt more
than two problems you will receive marks for your best two answers only.
As you answer each problem, be careful to show the significant steps of your work clearly. The
only exception to this statement is Question A1, where you are explicitly told that all you need to do
is write down examples. When a brief explanation or justification is required it is worth a substantial
amount of the credit and therefore failing to provide the explanation or justification will result in a
substantial loss of marks.
1 of P.T.O.
Answer ALL five questions.