Using Matrices To Model Practical Situations - Questions
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Question 1
29657
The road network shows roads connecting towns. Use a matrix to record the number of ways travelling directly from one town to another.Â
\begin{align}
&\;\;\;\;\;A \;\;\; B\;\;\; C \\
&\begin{array}{c}A \\ B \\ C\end{array} \left[\begin{array}{lll}
0 & 1 & 1 \\
1 & 0 & 2 \\
1 & 2 & 0
\end{array}\right]\\
&A \leftrightarrow B=1 \text { way } \\
&A \leftrightarrow C=1 \text { way } \\
&B \leftrightarrow C=2 \text { ways }
\end{align}
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