Math. 311 Spring 2000 HOMEWORK SUMMARY REPORT Assignment number: 2 Problem number: 2.2.11 Number of papers received: 2 Reviewing committee (Greek letter): Prof. Fulling (replacing nonexistent group delta) List all participating members: Author[s] of paper[s] chosen for publication: Kurtis Williamson, Kyle Brady Comments: Both papers are worthy, though neither is perfect. Kurtis's is more complete, but hand-written. Kyle's is carefully typed for the Web but does not have enough verbal explanation; also, he didn't finish part (a), presumably because of misreading the problem. Both authors correctly discerned the patterns that enable one to answer parts (c) and (d) for all values of n. But neither gave a solid argument for why the pattern should persist. In part (c) a really good paper would give a proof by mathematical induction: Assume the answer for n, then show that it is also true for n+1. In (d) a formal mathematical induction is not necessary, but one should say that it is obvious that in the nth power of a diagonal matrix, each diagonal element will just get raised to the nth power.