Explanation Given: Matrix for the year 2011 is A = [ 42 , 376 , 825 92 , 983 , 543 17 , 934 , 267 40 , 463 , 751 94 , 530 , 885 23 , 432 , 361 ] The total population in 2011 is 311 , 721 , 632 . Matrix for the year 2014 is B = [ 41 , 969 , 399 94 , 615 , 796 20 , 351 , 292 40 , 166 , 203 95 , 862 , 447 25 , 891 , 919 ] The total population in 2014 is 318 , 857 , 056 . Approach: Divide each matrix with the total population and multiply with 100. Calculation: Multiply matrix A with 100 311 , 721 , 632 . A ′ = 100 311 , 721 , 632 [ 42 , 376 , 825 92 , 983 , 543 17 , 934 , 267 40 , 463 , 751 94 , 530 , 885 23 , 432 , 361 ] = [ 13.59 % 23.83 % 5.75 % 12.98 30.32 % 7.52 % ] Here, A ′ is the matrix that represents the percent of the population in 2011 . From the above calculation, the matrix A ′ is [ 13 To determine (b) To find: The matrix that gives the change in percentage of population from 2011 to 2014 . To determine (c) To find: The gender(s) and age group(s) that had percents decrease from 2011 to 2014 .

10th Edition

ISBN: 9781337271073

Author: Ron Larson

Publisher: Cengage Learning

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‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

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Chapter 8.PS, Problem 2PS

To determine

(a)

To find:

The matrices to give the percentage of population in 2011 and 2014.

To determine

(b)

To find:

The matrix that gives the change in percentage of population from 2011 to 2014.

To determine

(c)

To find:

The gender(s) and age group(s) that had percents decrease from 2011 to 2014.

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Chapter 8.PS, Problem 1PS

Chapter 8.PS, Problem 3PS

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(a) To find: The matrices to give the percentage of population in 2011 and 2014 .

Solution Summary: The author explains the matrices to give the percentage of population in 2011 and 2014.

Concept explainers

Videos

(a)

To find:

The matrices to give the percentage of population in 2011 and 2014.

(b)

To find:

The matrix that gives the change in percentage of population from 2011 to 2014.

(c)

To find:

The gender(s) and age group(s) that had percents decrease from 2011 to 2014.

Want to see the full answer?

Chapter 8 Solutions

(a) To find: The matrices to give the percentage of population in 2011 and 2014 .

Solution Summary: The author explains the matrices to give the percentage of population in 2011 and 2014.

Concept explainers

Videos

(a) To find: The matrices to give the percentage of population in 2011 and 2014.

(b) To find: The matrix that gives the change in percentage of population from 2011 to 2014.

(c) To find: The gender(s) and age group(s) that had percents decrease from 2011 to 2014.

Want to see the full answer?

Chapter 8 Solutions

(a)

To find:

The matrices to give the percentage of population in 2011 and 2014.

(b)

To find:

The matrix that gives the change in percentage of population from 2011 to 2014.

(c)

To find:

The gender(s) and age group(s) that had percents decrease from 2011 to 2014.