Chapter 2.6, Problem 30E

To determine

The significance of second and third column of ${\left(I-A\right)}^{-1}$, where ${\left(I-A\right)}^{-1}=\left[\begin{array}{ccc}1.01& 0.20& 0.50\\ 0.02& 1.05& 0.23\\ 0.01& 0.09& 1.08\end{array}\right]$.

There is a three-sector economy consisting of coal, steel and electricity.

Coal requires no input from coal, $\$.02$ from steel and $\$.01$ from electricity for $\$1$; steel requires input of $\$.15$ from coal, $\$.03$ from steel and $\$.08$ from electricity for $\$1$ and electricity requires input of $\$.43$ from coal, $\$.05$ from steel and $\$.02$ from electricity for $\$1$.