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

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 Feb 26, 2019

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