Population Movement In 2008 the population of a country, broken down by regions, was 54.6 million in the Northeast, 65.6 million in the Midwest, 112.6 million in the South, and 70.5 million in the West. The table below shows the population movement during the period 2008-2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.) From Northeast Midwest To South West Northeast Midwest South West Northeast Midwest 0.9923 0.0018 0.0056 0.0024 0.0016 South 0.0033 0.0042 0.0019 0.9896 0.0047 0.0039 0.0059 0.9827 Set up the 2008 population figures (in millions) as a row vector. West 0.0044 0.0058 Use matrix multiplication to estimate the population in each region in 2009. (Round all answers to the nearest 0.1 million.) million people million people million people million people 0.9899

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 64CR
icon
Related questions
Question
100%
Population Movement In 2008 the population of a country, broken down by regions, was 54.6 million in the Northeast, 65.6 million in the
Midwest, 112.6 million in the South, and 70.5 million in the West. The table below shows the population movement during the period
2008-2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the
Midwest, and so on.)
From
To
Northeast
Midwest
South
West
Northeast
Midwest
South
West
Northeast Midwest South
0.9923
0.0018
0.0056
0.0024
0.0016 0.0042 0.0019
West
0.9896 0.0047 0.0039
0.0059 0.9827 0.0058
0.0033
Set up the 2008 population figures (in millions) as a row vector.
0.0044 0.9899
Use matrix multiplication to estimate the population in each region in 2009. (Round all answers to the nearest 0.1 million.)
million people
million people
million people
million people
Transcribed Image Text:Population Movement In 2008 the population of a country, broken down by regions, was 54.6 million in the Northeast, 65.6 million in the Midwest, 112.6 million in the South, and 70.5 million in the West. The table below shows the population movement during the period 2008-2009. (Thus, 99.23% of the population in the Northeast stayed there, while 0.16% of the population in the Northeast moved to the Midwest, and so on.) From To Northeast Midwest South West Northeast Midwest South West Northeast Midwest South 0.9923 0.0018 0.0056 0.0024 0.0016 0.0042 0.0019 West 0.9896 0.0047 0.0039 0.0059 0.9827 0.0058 0.0033 Set up the 2008 population figures (in millions) as a row vector. 0.0044 0.9899 Use matrix multiplication to estimate the population in each region in 2009. (Round all answers to the nearest 0.1 million.) million people million people million people million people
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning