Chapter 8, Problem 2PS

(a)

To determine

To write the matrices to give the information on percent of total population.

Answer to Problem 2PS

The matrices are-

  and

Explanation of Solution

The total population in 2011 was 311721632 and the total population in 2014 was 318857056.

Multiply each entry for 2011 by. To get percent of the total population in 2011.

Let us multiply first entry as follows-

  

Similarly, after multiplying each entry, the following result is obtained-

  

Multiply each entry for 2014 by . To get percent of the total population in 2014.

Let us multiply first entry as follows-

  

Similarly, after multiplying each entry, the following result is obtained-

  

b.

To determine

To write the matrix that gives the change in the percent of the population.

Answer to Problem 2PS

The matrix is-

  

Explanation of Solution

The change in percentage is the difference of matrix of 2011 and matrix of 2014.

  

c.

To determine

To find which gender and age group had decreased their percentage.

Answer to Problem 2PS

Age group of 0-19 and 20-64and gender is male and female.

Explanation of Solution

Based on the result from part the male and female had percent that decreased from 2011 to 2014 of the age group gender and age group had percent that decreased from 2011 to 2014 of age group of 0-19 and 20-64.