Given the Technology Matrix A, and an External Demand Vector $A = \left[ \begin{array} { c c c } 0.5 & 0.1 & 0 \\0 & 0.5 & 0.1 \\0 & 0 & 0.5\end{array} \right]$

Essay

Given the technology matrix A, and an external demand vector D, find the production vector X.
​ $A = \left[ \begin{array} { c c c } 0.5 & 0.1 & 0 \\0 & 0.5 & 0.1 \\0 & 0 & 0.5\end{array} \right]$ , $D = \left[ \begin{array} { l } 2200 \\4900 \\3400\end{array} \right]$