The total mark is 69+19=88 PS#15 8 Q1(a) - give full marks if attempt was made - do NOT check details 12 Q1(c) 12 Q2 8 Q3(a) 2 Q3(b) 6 Q4 5 Q6a) - give full marks if attempt was made - do NOT check details 8 Q6b) 8 Q6c) total 67 PS#16 5 Q1 2 Q2 12 Q3 - give full marks if attempt was made - do NOT check details total 19 ------------------------------------- Problem Set 15 Q1 - Well done Q2 - Some gave up on the question. Well done in most cases Q3 - Lots of trouble here. Students didn't really understand what they should try to do. Some did get the basis of eigenvectors and showed characteristic polynomial at Vi equaled zero vector. But only one considered a linear combination of the eigenvectors. Q4 - Done poorly. Some forgot that it was an if and only if proof. Most didn't realize there was two cases or didn't understand what those cases represented. Q6 - Well done. Some trouble with the complex eigenvalue case. Some gave general solution as linear combination of two complex eigenvectors. Problem Set 16 All was well done ------------------------------------- ------------------------------------- -------------------------------------