Question

the matrix below represents the distance in miles between three cities. A row label represents the city traveled from. A column label represents a city traveled to. what is the round trip distance in miles from city 1 to city 3

Answer 1

Answer:

The round trip distance in miles from city 1 to city 3 is 15. Therefore the correct option is 1.

Step-by-step explanation:

It is given that the matrix below represents the distance in miles between three cities. A row label represents the city traveled from. A column label represents a city traveled to.

$\begin{bmatrix}0 & 5 & 15\\ 5 & 0 & 35\\ 15 & 35 &0 \end{bmatrix}$

Here first element of first row represents the distance in miles from city 1 to city 1.

$C_1\Rightarrow C_1=0$

Second element of first row represents the distance in miles from city 1 to city 2.

$C_1\Rightarrow C_2=5$

Third element of first row represents the distance in miles from city 1 to city 3.

$C_1\Rightarrow C_3=15$

The round trip distance in miles from city 1 to city 3 is 15. Therefore the correct option is 1.

Answer 2

Answer:

$\large\boxed{30}$

Step-by-step explanation:

$.\qquad\ \ \begin{array}{ccc}c_1&c_2&c_3\end{array}\\\begin{array}{ccc}c_1\\c_2\\c_3\end{array}\left[\begin{array}{ccc}0&5&15\\5&0&35\\15&35&0\end{array}\right]\\\\\\Look\ at\ the\ picture.\\\\\text{from city1 to city3 (red lines) - 15 miles}\\\\\text{from city1 to city3 (blue lines) - 15 miles}\\\\15\ miles+15\ miles=30\ miles$