If `A`, `B`, `C` are 3 given matrices such that $ A = \begin{pmatrix} 3 & 5 \\ 2 & a \end{pmatrix}$, $ B = \begin{pmatrix} 4 & b \\ 2 & 9 \end{pmatrix}$ and $ C = \begin{pmatrix} 22 & 14 \\ a & -1 \end{pmatrix}$, find `a` and `b` such that `A\cdot\B = C^T`.