Chapter 12.1, Problem 25PPSE

Solution

a.

To determine: The two 5 cross 1 matrices to represent each woman’s scores for each event.

Event	Anita Allen	Mary Beth lagorashviti
Shooting	952	760
Fencing	720	832
Swimming	1108	1252
Ridding	1172	1144
Running	1044	1064

The obtained matrix are $\begin{array}{l}\text{ Anita Allen}\\ \text{Score}=\left[\begin{array}{c}952\\ 720\\ 1108\\ 1172\\ 1044\end{array}\right]\end{array}$ and $\begin{array}{l}\text{Mary Beth lagorashviti}\\ \text{Score}=\left[\begin{array}{c}760\\ 832\\ 1252\\ 1144\\ 1064\end{array}\right]\end{array}$

Given Information:

The table is defined,

Event	Anita Allen	Mary Beth lagorashviti
Shooting	952	760
Fencing	720	832
Swimming	1108	1252
Ridding	1172	1144
Running	1044	1064

Explanation:

Consider the given table,

Event	Anita Allen	Mary Beth lagorashviti
Shooting	952	760
Fencing	720	832
Swimming	1108	1252
Ridding	1172	1144
Running	1044	1064

The score of both woman are given in the above table. Write the all marks as matrices form.

  $\begin{array}{l}\text{ Anita Allen}\\ \text{Score}=\left[\begin{array}{c}952\\ 720\\ 1108\\ 1172\\ 1044\end{array}\right]\end{array}$

And,

  $\begin{array}{l}\text{Mary Beth lagorashviti}\\ \text{Score}=\left[\begin{array}{c}760\\ 832\\ 1252\\ 1144\\ 1064\end{array}\right]\end{array}$

Therefore, the above matrices are the required matrix.

b.

To calculate: The total score for each athlete form the given table.

The total sum for Anita Allen and Mary is 4096 and 50552.

Given Information:

The table is defined as,

Event	Anita Allen	Mary Beth lagorashviti
Shooting	952	760
Fencing	720	832
Swimming	1108	1252
Ridding	1172	1144
Running	1044	1064

Calculation:

Consider the given information,

To calculate the sum add all the entries of the table both player column.

Event	Anita Allen	Mary Beth lagorashviti
Shooting	952	760
Fencing	720	832
Swimming	1108	1252
Ridding	1172	1144
Running	1044	1064
Total	4,096	5,052

Hence, the obtained total sum for Anita Allen and Mary is 4096 and 50552.