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

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

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.