Q12 from page 328: Many students stated that the matrix could be transformed into a diagonal matrix through row and column operations, without providing a method. Since this implies that the matrix can be row reduced to the identity matrix, I felt such an assumption trivialized the question. Also, there is not a unique solution, so the assumption seemed ambiguous. Also, a few students erroneously believed that theorems 5.3 and 5.4 were if and only if. Q8 from page 343: Most students correctly used the adjoint, but got stuck proving that the lower elements equaled zero. Those who did not attempt to draw the general form had the most difficulty. ------------------------------------------- Problem 2 #12 from the text book, no student used induction like the solution: all showed that row reducing would be easy and that nonzero elements would appear on the diagonal. ------------------------------------------- The assigment was mostly well done. Question 2 (p328 #12) was done differently by most students. Only a few used induction. Most interchanged rows and used the fact that it was non-singular to say detA != 0. There were some hand-wavy proofs for question 4(p 343 #8). Many students didn't justify the fact that the lower entries in adjA are 0 very well (or not at all). ------------------------------------------- -------------------------------------------