Chapter 4.1, Problem 8CYU

a.

To determine

To find: Thematrix for the given data.

Answer to Problem 8CYU

The matrix for the given datais $\left[\begin{array}{cccc}23& 21& 21& 61\\ 25& 24& 32& 70\end{array}\right]$ .

Explanation of Solution

Given information:

The data is shown below.

Vehicle	SUV	Mini-van	Sedan	Compact	APV
City	23	21	21	42	61
Highway	25	24	32	49	70

Calculation:

The data in form of matrix is,

  $\left[\begin{array}{cccc}23& 21& 21& 61\\ 25& 24& 32& 70\end{array}\right]$

b.

To determine

To find: The vehicle with best gas mileage.

Answer to Problem 8CYU

The vehicle with best gas mileageis APV.

Explanation of Solution

Given information:

The data is shown below.

Vehicle	SUV	Mini-van	Sedan	Compact	APV
City	23	21	21	42	61
Highway	25	24	32	49	70

Calculation:

The vehicle APV has the best gas mileage.

c.

To determine

To find: The matrix after adding elements of each row.

Answer to Problem 8CYU

The matrix after adding elements of each rowis $\left[\begin{array}{c}168\\ 200\end{array}\right]$ .

Explanation of Solution

Given information:

The data is shown below.

Vehicle	SUV	Mini-van	Sedan	Compact	APV
City	23	21	21	42	61
Highway	25	24	32	49	70

Calculation:

The matrix after adding elements of each row is $\left[\begin{array}{c}168\\ 200\end{array}\right]$

d.

To determine

To find: The matrix after adding elements of each column.

Answer to Problem 8CYU

The matrix after adding elements of each columnis $\left[\begin{array}{ccccc}48& 45& 53& 91& 131\end{array}\right]$ .

Explanation of Solution

Given information:

The data is shown below.

Vehicle	SUV	Mini-van	Sedan	Compact	APV
City	23	21	21	42	61
Highway	25	24	32	49	70

Calculation:

The matrix after adding elements of each columnis $\left[\begin{array}{ccccc}48& 45& 53& 91& 131\end{array}\right]$