The following tables show the population (in millions) of four regions in various years and give the average birth and death rates for these regions. Complete parts (a) through (e) below. B= Region 1 Region 2 AB= Region 3 Region 4 0.16704 2010 2020 276.5 295.6 35.5 32.1 38.4 40.4 128.6 133.9 100 (c) Find the matrix product AB. Region 1 Region 2 Region 3 Region 4 Births 0.15565 0.11535 0.16704 0.00958 (Round to one decimal place as needed.) (d) Explain what AB represents. Choose the correct answer below. Deaths 0.00857 0.00702 0.00744 0.00948
The following tables show the population (in millions) of four regions in various years and give the average birth and death rates for these regions. Complete parts (a) through (e) below. B= Region 1 Region 2 AB= Region 3 Region 4 0.16704 2010 2020 276.5 295.6 35.5 32.1 38.4 40.4 128.6 133.9 100 (c) Find the matrix product AB. Region 1 Region 2 Region 3 Region 4 Births 0.15565 0.11535 0.16704 0.00958 (Round to one decimal place as needed.) (d) Explain what AB represents. Choose the correct answer below. Deaths 0.00857 0.00702 0.00744 0.00948
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The following tables show the population (in millions) of four regions in various years and give the average birth and death rates for these regions. Complete parts (a)
through (e) below.
B=
Region 1
Region 2
Region 3
Region 4
0.16704
AB=
2010
276.5
32.1
38.4
128.6
2020
295.6
35.5
40.4
133.9
(c) Find the matrix product AB.
Region 1
Region 2
Region 3
Region 4
Births
0.15565
0.11535
0.16704
0.00958
(Round to one decimal place as needed.)
(d) Explain what AB represents. Choose the correct answer below.
Deaths
0.00857
0.00702
0.00744
0.00948
Transcribed Image Text:The following tables show the population (in millions) of four regions in various years and give the average birth and death rates for these regions. Complete parts (a)
through (e) below.
A =
2010
Region 1
276.5
32.1
Region 2
Region 3
38.4
Region 4 128.6
(a) Write the data in the first table as a 2×4 matrix A.
B =
276.5
40.4
2020
295.6
35.5
40.4
133.9
Region 1
Region 2
Region 3
Region 4
0.00857
(b) Write the data in the second table as a 4 × 2 matrix B.
Births
0.15565
0.11535
0.16704
0.00958
Deaths
0.00857
0.00702
0.00744
0.00948
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