Matrix multiplication and its interpretation
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A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:(Please show all work)
A = AGE
0-10 10-30 Over 30
WELL .65 .58 .60
SICK .10 .20 .30
CARRIER .25 .22 .10
The population of the city is distributed by age and gender in the following matrix: B = MALE FEMALE
AGE 0-10 62,000 71,000
10-30 114,000 132,000
Over 30 223,000 251,000
a) Compute the matrix AB What do the elements of the matrix represent?
b) How many female carriers are there?
c) How many sick males are there?
d) How many sick females are there?
e) How many female carriers are there?
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The solution gives detailed steps on matrix multiplication and its interpretation. All formula and calculations are shown and explained.
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Each element of the matrix AB refers any person with one of 3 ...
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