 2017

Source paper: earlier Computer Science release, member 2016/T/a15293w1.pdf. Its cover dates this examination to 14 June 2017, but its question pages are damaged. The complete three-page counterpart is in Mathematics Part A release, member FOI-20210708-1 - Data/a15293w1 (2).pdf.

All seventeen source subparts are answered below. Part 1(b)(iii) needs a separable polynomial hypothesis over a general field; its intended case, a counterexample to the unrestricted claim, and the corrected general result are distinguished in that solution. This paper uses the characteristic polynomial convention ${\chi }_T(x)=\det (T-xI)$, which differs by $(-1{)}^{\dim V}$ from the monic convention.

The department's solution-release policy covers even examination years and the exceptional release for 2019; it does not advertise 2017 solutions. The exact-paper check found examiner comments, but no advertised worked answers requiring any subpart to be skipped.