Tourism in 2020 Because of the coronavirus pandemic, the actual number of people who visited Australia and South Africa in 2020 was much lower than predicted. Suppose the following table given the number of people (in thousands) who visited Australia and South Africa in 2020. Australia South Africa To North America From Central and South America Europe 450 Referring to the 2020 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 2019. Australia South Africa 1,000 160 1,660 Take A to be the 3x2 matrix whose entries are the 2019 tourism figures (in thousands) and take to the 3 x 2 matrix whose entries are the 2020 tourism figures (in thousands). (a) Compute the matrix B-A. To North America From Central and South America Europe What does this matrix represent? 230 50 It represents changes in number of visitors in 2019 It represents changes in number of visitors in 2020. 100 20 440 430 110 1,550 It represents changes in number of visitors over the period 2020-2021. It represents changes in number of visitors over the period 2019-2020 (b) Assuming that 2021 saw increases in every category equal in magnitude to half the 2020 losses, give a formula (in terms of A and 8) that gives the number of visitors from the three regions to Australia and South Africa in 2021

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merk Mat At & Saar M Math 2301-007 CN 10604,
Tourism in 2020 Because of the coronavirus pandemic, the actual number of people who visited Australia and South Africa in 2020 was much lower than predicted. Suppose the following table gives
the number of people (in thousands) who visited Australia and South Africa in 2020.
To
North America
To
North America
From Central and South America
Europe
Australia
230
From Central and South America
Europe
Referring to the 2020 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 2019.
Australia South Africa
1,030
160
What does this matrix represent?
50
450
South Africa
100
It represents changes in number of visitors in 2019.
It represents changes in number of visitors in 2020.
20
440
430
1,660
Take A to be the 3x2 matrix whose entries are the 2019 tourism figures (in thousands) and take to be the 3 x 2 matrix whose entries are the 2020 tourism figures (in thousands).
(a) Compute the matrix - A
110
1,550
It represents changes in number of visitors over the period 2020-2021.
It represents changes in number of visitors over the period 2019-2020
(b) Assuming that 2021 saw increases in every category equal in magnitude to half the 2020 losses, give a formula (in terms of A and 8) that gives the number of visitors from the three regions to
Australia and South Africa in 2021.
Transcribed Image Text:merk Mat At & Saar M Math 2301-007 CN 10604, Tourism in 2020 Because of the coronavirus pandemic, the actual number of people who visited Australia and South Africa in 2020 was much lower than predicted. Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 2020. To North America To North America From Central and South America Europe Australia 230 From Central and South America Europe Referring to the 2020 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 2019. Australia South Africa 1,030 160 What does this matrix represent? 50 450 South Africa 100 It represents changes in number of visitors in 2019. It represents changes in number of visitors in 2020. 20 440 430 1,660 Take A to be the 3x2 matrix whose entries are the 2019 tourism figures (in thousands) and take to be the 3 x 2 matrix whose entries are the 2020 tourism figures (in thousands). (a) Compute the matrix - A 110 1,550 It represents changes in number of visitors over the period 2020-2021. It represents changes in number of visitors over the period 2019-2020 (b) Assuming that 2021 saw increases in every category equal in magnitude to half the 2020 losses, give a formula (in terms of A and 8) that gives the number of visitors from the three regions to Australia and South Africa in 2021.
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