Summary of MENTOR problem-solving session
April 29, 2016

• A6 (revisited):
  This problem is inspired by dynamical systems. To solve it, think about iterating the map \(x \mapsto x^{2} + c\).
• B3:
  First guess the optimal configuration. Then try to prove that your guess is correct. One proof uses induction on \(n\).
• B4:
  Work with the Jordan canonical form of \(A\).