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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 1988-1998. O It represents changes in number of visitors in 1988. O It represents changes in number of visitors in 1998. It represents changes in number of visitors over the period 1998-2008. (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.

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 1988-1998. O It represents changes in number of visitors in 1988. O It represents changes in number of visitors in 1998. It represents changes in number of visitors over the period 1998-2008. (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
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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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 1988-1998. O It represents changes in number of visitors in 1988. O It represents changes in number of visitors in 1998. O It represents changes in number of visitors over the period 1998-2008. (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.
Transcribed Image Text: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 1988-1998. O It represents changes in number of visitors in 1988. O It represents changes in number of visitors in 1998. O It represents changes in number of visitors over the period 1998-2008. (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. То Australia South Africa North America 450 200 From Europe 960 960 Asia 1,780 190 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. То Australia South Africa North America 510 110 From Europe 890 810 Asia 1,380 60
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. То Australia South Africa North America 450 200 From Europe 960 960 Asia 1,780 190 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. То Australia South Africa North America 510 110 From Europe 890 810 Asia 1,380 60
Expert Solution
Step 1 Solution (a)

Use the table that gives the number of people (in thousands) who visited Australia and South Africa in 1998.

Using this table construct a matrix A3×2 that represents the entries of 1998 tourism figures.

So,

A=4502009609601780190

Now use the table that gives the (fictitious) figures that represents the corresponding figures in 1988.

Using this table construct a matrix B3×2 that represents the entries of 1988 tourism figures.

So,

B=510110890810138060

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