Sample Final Examination

Problems 1-7 are 10 points each, and short-answer questions (a)-(p) are 3 points each except as noted. Time limit: 3 hours. Useful information: ${\left[\begin{array}{cc}4&1\\ 1&4\end{array}\right]} ^ {-1} = \frac 1{15} \left[\begin{array}{rr}4&-1\\ -1&4\end{array}\right]$.