Tourism in the 1990s Referring to the 1998 tourism figures given in Exercise 51, assume that the following (fictitious) figures represent the corresponding numbers from 1988: To Australia South Africa From North America 500 100 Europe 900 800 Asia 1,400 50 Take A to be the 3 × 2 matrix whose entries are the 1998 tourism figures, and take B to be the 3 × 2 matrix whose entries are the 1988 tourism figures. a. Compute the matrix A − B . What does this matrix represent? 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 Referring to the 1998 tourism figures given in Exercise 51, assume that the following (fictitious) figures represent the corresponding numbers from 1988: To Australia South Africa From North America 500 100 Europe 900 800 Asia 1,400 50 Take A to be the 3 × 2 matrix whose entries are the 1998 tourism figures, and take B to be the 3 × 2 matrix whose entries are the 1988 tourism figures. a. Compute the matrix A − B . What does this matrix represent? 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.
Solution Summary: The author explains how to calculate the value of A-B and what the matrix represents with 3times 2 matrix A as the tourism matrix in 1998 from table 2 and nA representing the
Tourism in the 1990s Referring to the 1998 tourism figures given in Exercise 51, assume that the following (fictitious) figures represent the corresponding numbers from 1988:
To
Australia
South Africa
From North America
500
100
Europe
900
800
Asia
1,400
50
Take A to be the
3
×
2
matrix whose entries are the 1998 tourism figures, and take B to be the
3
×
2
matrix whose entries are the 1988 tourism figures.
a. Compute the matrix
A
−
B
. What does this matrix represent?
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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