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# Help pls

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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 $$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$$

Feb 26, 2019

$$Av=\begin{pmatrix}1\\0\end{pmatrix}\\ A^{-1}Av = A^{-1}\begin{pmatrix}1\\0\end{pmatrix}\\ v = \begin{pmatrix}1&1\\2&x\end{pmatrix}\begin{pmatrix}1\\0\end{pmatrix}=\begin{pmatrix}1\\2\end{pmatrix}$$