The number of roads directly connecting the town J to the other towns will be 12.
<h3>What is a matrix?</h3>
Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns. A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.
To find the number of roads directly connecting the town J to the other towns find the determinant of the matrix.
The matrix will be solved as below:-
![\left[\begin{array}{ccc}0&2&3\\2&0&1\\3&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%262%263%5C%5C2%260%261%5C%5C3%261%260%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix will be calculated as below:-
D = 0(0 - 1 ) -2(0 - 3 ) +3(2-1)
D = 6 + 6
D = 12
Therefore, the number of roads directly connecting the town J to the other towns will be 12.
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