(a) Given initial data u(0) = (1, l, 1)T, explain why the resulting solution u(k) to the system in Example 10.7 has all integer entries.
(b) Find the coefficients c1. c2. c3 in the explicit solution formula (10.18).
(c) Check the first few iterates to convince yourself that the solution formula does, in spite of appearances, always give an integer value.