Let $B = \left\{ \begin{bmatrix} 4 \\ 1 \end{bmatrix}, \begin{bmatrix} -7 \\ -2 \end{bmatrix} \right\}$ and $C = \left\{ \begin{bmatrix} 5 \\ 2 \end{bmatrix}, \begin{bmatrix} 2 \\ 1 \end{bmatrix} \right\}$ denote basis for $\mathbb{R}^2$.
Find the change of coordinates matrices $_CP_B$ and $_BP_C$.