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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

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 t class=

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gmany

Answer:

[tex]\large\boxed{30}[/tex]

Step-by-step explanation:

[tex].\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[/tex]

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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.

[tex]\begin{bmatrix}0 & 5 & 15\\ 5 & 0 & 35\\ 15 & 35 &0 \end{bmatrix}[/tex]

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

[tex]C_1\Rightarrow C_1=0[/tex]

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

[tex]C_1\Rightarrow C_2=5[/tex]

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

[tex]C_1\Rightarrow C_3=15[/tex]

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