Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998. From From To North America 11 Europe 940 1,780 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. Australia South Africa To Asia North America Europe Australia South Africa Asia 430 510 910 180 1,380 960 190 110 790 40 Take A to be the 3 x 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 x 2 matrix whose entries are the 1988 tourism figures. (a) Compute the matrix A - B. What does this matrix represent? O It represents changes in number of visitors over the period 1998-2008. O It represents changes in number of visitors over the period 1988-1998. O It represents changes in number of visitors in 1998. O It represents changes in number of visitors in 1988. (b) Assuming that the changes in tourism over 1988-1998 are repeated in 1998-2008, give a formula (in terms of A and B) that predicts the number of visitors from the three regions to Australia and South Africa in 2008.
Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998. From From To North America 11 Europe 940 1,780 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. Australia South Africa To Asia North America Europe Australia South Africa Asia 430 510 910 180 1,380 960 190 110 790 40 Take A to be the 3 x 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 x 2 matrix whose entries are the 1988 tourism figures. (a) Compute the matrix A - B. What does this matrix represent? O It represents changes in number of visitors over the period 1998-2008. O It represents changes in number of visitors over the period 1988-1998. O It represents changes in number of visitors in 1998. O It represents changes in number of visitors in 1988. (b) Assuming that the changes in tourism over 1988-1998 are repeated in 1998-2008, give a formula (in terms of A and B) that predicts the number of visitors from the three regions to Australia and South Africa in 2008.
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:Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998.
From
To
From
North America
Europe
Asia
To
North America
Europe
Australia South Africa
Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988.
Asia
430
9:
940
1,780
510
180
910
960
Australia South Africa
1,380
190
110
790
40
Take A to be the 3 x 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 x 2 matrix whose entries are the 1988 tourism figures.
(a) Compute the matrix A - B.
↓1
What does this matrix represent?
O It represents changes in number of visitors over the period 1998-2008.
O It represents changes in number of visitors over the period 1988-1998.
O It represents changes in number of visitors in 1998.
O It represents changes in number of visitors in 1988.
(b) Assuming that the changes in tourism over 1988-1998 are repeated in 1998-2008, give a formula (in terms of A and B) that predicts the number of visitors from the three regions to Australia and South Africa in 2008.
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