Chapter 6.6, Problem 37HP

To determine

To describe: the real world situation that can be modelled by using a matrix.

Answer to Problem 37HP

The solution for the real word problem is $\left[\begin{array}{ll}6\hfill & 4\hfill \\ 3\hfill & 6\hfill \\ 6\hfill & 2\hfill \end{array}\right]$

Explanation of Solution

Calculation:

Objective: To describe a real world situation that can be modelled by a matrix and to write the matrix.

Real life situation: Suppose A and B played Tennis consisting of 3 rounds. In $1^{\text{st }}$ round A scored 6 points while B scored 4 points. In $2^{\text{nd }}$ round A scored 3 points while B scored 6 points. In $3^{\text{rd }}$ round A scored 6 points while B scored 2 points.

Then the given real life situation can be modelled by a matrix.

Following is the matrix which shows the points scored by A and B. In the following matrix first row shows points scored in round 1, second row shows the shows points scored in round 2, third row shows the shows points scored in round 3 while the first column shows the score of

A and second column shows scores of B.

  $\left[\begin{array}{ll}6\hfill & 4\hfill \\ 3\hfill & 6\hfill \\ 6\hfill & 2\hfill \end{array}\right]$

Conclusion:

Therefore, the solution for the real word problem is $\left[\begin{array}{ll}6\hfill & 4\hfill \\ 3\hfill & 6\hfill \\ 6\hfill & 2\hfill \end{array}\right]$