Chapter 6, Problem 93RE

(a)

To determine

To calculate: The value of $M^2$ if $M=\left[\begin{array}{rrrr}\hfill 0& \hfill 1& \hfill 1& \hfill 0\\ \hfill 1& \hfill 0& \hfill 1& \hfill 1\\ \hfill 1& \hfill 1& \hfill 0& \hfill 1\\ \hfill 0& \hfill 1& \hfill 1& \hfill 0\end{array}\right]$.

(b)

To determine

The number of routes available between A and D which go through exactly one other station.

(c)

To determine

To calculate: The value of $M^3$.

(d)

To determine

The number of routes available between A and D which go through exactly one other station.