Chapter CSB1.16, Problem 10E

a.

To determine

To find:matrix based on the given information.

Answer to Problem 10E

  $\left(\begin{array}{ccc}1.5& 1& 0.5\\ 2& 1.5& 2\end{array}\right)$

Explanation of Solution

Given information: Janice practices trumpet 1.5 hours on Monday, 1 hour on Tuesday, and 0.5 hour on Wednesday. She practices soccer 2 hours on Monday, 1.5 hours on Tuesday and 2 hours on Wednesday.

As Janice practices trumpet 1.5 hours on Monday, 1 hour on Tuesday, and 0.5 hour on Wednesday,

Put $1.5,1,0.5$ in the first row

  $\left(\begin{array}{ccc}1.5& 1& 0.5\\ & & \end{array}\right)$ (i)

As Janice practices soccer 2 hours on Monday, 1.5 hours on Tuesday and 2 hours on Wednesday,

Put $2,1.5,2$ in the second row

  $\left(\begin{array}{ccc}& & \\ 2& 1.5& 2\end{array}\right)$ (ii)

From (i) and (ii),

  $\begin{array}{l}MTW\\ \begin{array}{c}Tr\\ S\end{array}\left(\begin{array}{ccc}1.5& 1& 0.5\\ 2& 1.5& 2\end{array}\right)\end{array}$

Here, M, T and W denote Monday, Tuesday and Wednesday respectively.

Tr denotes Trumpet and S denotes soccer.

b.

To determine

To find: element in second row and third column and to describe what it represents

Answer to Problem 10E

Element in second row and third column is equal to 2 which denotes that Janice practices soccer 2 hours on Wednesday

Explanation of Solution

From part a.,

Matrix is $\begin{array}{l}MTW\\ \begin{array}{c}T\\ S\end{array}\left(\begin{array}{ccc}1.5& 1& 0.5\\ 2& 1.5& 2\end{array}\right)\end{array}$

Here, M, T and W denote Monday, Tuesday and Wednesday respectively.

Tr denotes Trumpet and S denotes soccer.

Element in second row and third column is equal to 2.

It denotes that Janice practices soccer 2 hours on Wednesday