Use the method Exercise 10.1.36 to find the general real solution to the following iterative systems:
(a) u(k+1) = 2u(k) + 3v(k), v(k+1) = 2v(k)
(b) u(k+1) = u(k) + v(k), v(k+1) = -4u(k) + 5v(k)
(c) u(k+1) = u(k) + v(k), w(k)
v(k+1) = -v(k) + w(k), w(k+1) = -w(k)
(d) u(k+1) = 3u(k) + -v(k)
v(k+1) = -u(k) + 3v(k) + w(k),
w(k+1) = -v(k) + 3w(k)
(e) u(k+1) = u(k) - v(k) - w(k)
v(k+1) = 2u(k) + 2v(k) + 2w(k),
w(k+1) = -u(k) + v(k) + w(k)
(f) u(k+1) = v(k) + z(k), v(k+1) = -u(k) + w(k)
w(k+1) = z(k) + z(k+1) = -w(k)