Use the method Exercise 9.1.40 to find the general real solution to the following linear iterative systems:
(a) $u^{(k+1)}=2 u^{(k)}+3 v^{(k)}, v^{(k+1)}=2 v^{(k)}$
(b) $u^{(k+1)}=u^{(k)}+v^{(k)}, v^{(k+1)}=-4 u^{(k)}+5 v^{(k)}$,
(c) $u^{(k+1)}=-u^{(k)}+v^{(k)}+w^{(k)}+v^{(k+1)}=-v^{(k)}+w^{(k)}, w^{(k+1)}=-w^{(k)}$,
(d) $u^{(k+1)}=3 u^{(k)}-v^{(k)}, v^{(k+1)}=-u^{(k)}+3 v^{(k)}+w^{(k)}, w^{(k+1)}=-v^{(k)}+3 w^{(k)}$,
(e) $u^{(k+1)}=u^{(k)}-v^{(k)}-w^{(k)}, v^{(k+1)}=2 u^{(k)}+2 v^{(k)}+2 w^{(k)}, w^{(k+1)}=-u^{(k)}+v^{(k)}+w^{(k)}$,
(f) $u^{(k+1)}=v^{(k)}+z^{(k)}, v^{(k+1)}=-u^{(k)}+w^{(k)}, w^{(k+1)}=z^{(k)}, z^{(k+1)}=-w^{(k)}$.