Obtain the Technology Matrix from the Input-Output Table A) $A = \left[ \begin{array} { c c c } 0.2 & 0.5 & 0 \\0.1 & 0 & 0 \\0.1 & 0.1 & 0.2\end{array} \right]$

Obtain the technology matrix from the input-output table. $$\begin{array} { | r | c | c | c | } \hline \text { to } & \text { A } & \text { B } & \text { C } \\\hline \text { from } \mathbf { A } & 0 & 200 & 300 \\\hline \mathbf { B } & 500 & 400 & 300 \\\hline \mathbf { C } & 0 & 0 & 600 \\\hline \text { Total Output } & 1,000 & 2,000 & 3,000 \\\hline\end{array}$$

A) $A = \left[ \begin{array} { c c c } 0.2 & 0.5 & 0 \\0.1 & 0 & 0 \\0.1 & 0.1 & 0.2\end{array} \right]$
B) $A = \left[ \begin{array} { c c c } 0 & 0 & 0.5 \\0.1 & 0.2 & 0 \\0.1 & 0.1 & 0.2\end{array} \right]$
C) $A = \left[ \begin{array} { c c c } 0 & 0.1 & 0.1 \\0.5 & 0.2 & 0.1 \\0 & 0 & 0.2\end{array} \right]$
D) $A = \left[ \begin{array} { c c c } 0 & 0.5 & 0 \\0.1 & 0.2 & 0 \\0.1 & 0.1 & 0.2\end{array} \right]$
E) $A = \left[ \begin{array} { c c c } 0.2 & 0 & 0.5 \\0.2 & 0 & 0 \\0.1 & 0.1 & 0.1\end{array} \right]$