Let A be a matrix such \(\mathbf{A}^{-1} = \begin{pmatrix} 1 & 1 \\ 2 & x \end{pmatrix}\) that
for some value of x. What is the vector that A maps to \(\begin{pmatrix} 1 \\ 0 \end{pmatrix}\)
\(Av=\begin{pmatrix}1\\0\end{pmatrix}\\ A^{-1}Av = A^{-1}\begin{pmatrix}1\\0\end{pmatrix}\\ v = \begin{pmatrix}1&1\\2&x\end{pmatrix}\begin{pmatrix}1\\0\end{pmatrix}=\begin{pmatrix}1\\2\end{pmatrix}\)