Matrix A below gives the fraction of the earths area and the

Matrix A below gives the fraction of the earth\'s area and the projected fraction of its population for five continents in 2050. Matrix B gives the earth\'s area (in square miles) and its projected 2050 population. A = [Fraction of Area 0.162 0.119 0.066 0.298 0.202 Fraction of Population 0.047 0.086 0.065 0.582 0.215] North America South America Europe Asia Africa B = [Area 57, 850,000 0 Population 0 9, 322,000,000] Area Population Find the area (in square miles) and population of each given continent by finding AB.

Solution

On multiplication, we have AB =

9371700

438134000

6884150

801692000

3818100

605930000

17239300

5425404000

11685700

200423000

Thus, the area in Sq. miles and the population of the given continents are as under:

Continent

Area (sq. miles)

Population

North America

9371700

438134000

South America

6884150

801692000

Europe

3818100

605930000

Asia

17239300

5425404000

Africa

11685700

200423000

9371700	438134000
6884150	801692000
3818100	605930000
17239300	5425404000
11685700	200423000