(All Steps) Given the transpose of the coefficient matrix A and the final demand matrix D stated below, find (I-A)^-1 and find the output matrix X. A^T=[ll0.3
Question: Given the transpose of the coefficient matrix \(\mathrm{A}\) and the final demand matrix D stated below, find \((\mathrm{I}-\mathrm{A})^{-1}\) and find the output matrix \(\mathrm{X}\).
\(\mathrm{A}^{\mathrm{T}}=\left[\begin{array}{ll}0.3 & 0.3 \\ 0.2 & 0.2\end{array}\right] \quad \mathrm{D}=\left[\begin{array}{l}70 \\ 30\end{array}\right]\)
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