Question

The following table gives the number of people (in thousands) who visited Australia and South Africa in 1998. To Australia South Africa From North America 440 190 Europe 950 950 Asia 1,790 200 You estimate that 4% of all visitors to Australia and 3% of all visitors to South Africa decide to settle there permanently. Take A to be the 3 × 2 matrix whose entries are the 1998 tourism figures in the above table and take B = [0.04 0.03] and C = [0.04 0; 0 0.03]. Compute the products AB and AC. AB = AC = What do the entries in these matrices represent? - The entries of AB give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa, breaking those figures down further into the number of settlers (in thousands) of each country, while the entries in AC give only the number of people (in thousands) from each of the three regions who settle in Australia or South Africa. - The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, while the entries in AC give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa. - The entries of AB give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa, while the entries in AC break those figures down further into settlers (in thousands) in South Africa and settlers (in thousands) in Australia. - The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, breaking those figures down further into the number of visitors (in thousands) of each country, while the entries in AC give only the number of people (in thousands) from each of the three regions who visit Australia or South Africa. - The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, while the entries in AC break those figures down further into visitors (in thousands) of South Africa and visitors (in thousands) of Australia.

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

To Australia South Africa
From North America 440 190
Europe 950 950
Asia 1,790 200

You estimate that 4% of all visitors to Australia and 3% of all visitors to South Africa decide to settle there permanently. Take A to be the 3 × 2 matrix whose entries are the 1998 tourism figures in the above table and take
B = [0.04 0.03] and C = [0.04 0; 0 0.03].
Compute the products AB and AC.
AB =
AC =
What do the entries in these matrices represent?
- The entries of AB give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa, breaking those figures down further into the number of settlers (in thousands) of each country, while the entries in AC give only the number of people (in thousands) from each of the three regions who settle in Australia or South Africa.
- The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, while the entries in AC give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa.
- The entries of AB give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa, while the entries in AC break those figures down further into settlers (in thousands) in South Africa and settlers (in thousands) in Australia.
- The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, breaking those figures down further into the number of visitors (in thousands) of each country, while the entries in AC give only the number of people (in thousands) from each of the three regions who visit Australia or South Africa.
- The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, while the entries in AC break those figures down further into visitors (in thousands) of South Africa and visitors (in thousands) of Australia.

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

To Australia South Africa
From North America 440 190
Europe 950 950
Asia 1,790 200

You estimate that 4% of all visitors to Australia and 3% of all visitors to South Africa decide to settle there permanently. Take A to be the 3 × 2 matrix whose entries are the 1998 tourism figures in the above table and take
B = [0.04 0.03] and C = [0.04 0; 0 0.03].
Compute the products AB and AC.
AB =
AC =
What do the entries in these matrices represent?
- The entries of AB give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa, breaking those figures down further into the number of settlers (in thousands) of each country, while the entries in AC give only the number of people (in thousands) from each of the three regions who settle in Australia or South Africa.
- The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, while the entries in AC give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa.
- The entries of AB give the number of people (in thousands) from each of the three regions who settle in Australia or South Africa, while the entries in AC break those figures down further into settlers (in thousands) in South Africa and settlers (in thousands) in Australia.
- The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, breaking those figures down further into the number of visitors (in thousands) of each country, while the entries in AC give only the number of people (in thousands) from each of the three regions who visit Australia or South Africa.
- The entries of AB give the number of people (in thousands) from each of the three regions who visit Australia or South Africa, while the entries in AC break those figures down further into visitors (in thousands) of South Africa and visitors (in thousands) of Australia.

Added by Elizabeth C.

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