Let \(\mathcal{B}=\left\{\begin{bmatrix}4\\-1\end{bmatrix},\…
Let \(\mathcal{B}=\left\{\begin{bmatrix}4\\-1\end{bmatrix},\begin{bmatrix}7\\-2\end{bmatrix}\right\}\) and \(\mathcal{B}^{\prime}=\left\{\begin{bmatrix}5\\4\end{bmatrix},\begin{bmatrix}1\\1\end{bmatrix}\right\}\). Find the transition matrix \(P_{\mathcal{B}\to\mathcal{B}^{\prime}}\).