I want to take the inverse of cn2
so that I could do: cn1*cn2^-1
cn1 = SparseArray[{{m_, m_} ->
1/2 + 1/2*\[Mu] + 1/2*rr1*\[CapitalDelta]t, {m_, l_} /;
l - m == 1 -> -(1/4)*\[Mu] - 1/2*rr1*\[Alpha], {m_, l_} /;
m - l == 1 -> -(1/4)*\[Mu] + 1/2*rr1*\[Alpha]}, {101, 101}];
(*from V^(n+(1/2) )to V^n*)
cn2[k3_, n_] =
SparseArray[{{m_, m_} ->
3/2 + 1/2*\[Mu] + 1/2*rr1*\[CapitalDelta]t, {m_, l_} /;
l - m == 1 -> -(1/4)*\[Mu] - 1/2*rr1*\[Alpha], {m_, l_} /;
m - l == 1 -> -(1/4)*\[Mu] + 1/2*rr1*\[Alpha], {101, 101}}];