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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:
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?
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
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In the page 82 B(G) is defined like independent sets like you say but in the page 187 it other kind of B and it is define like Betti number and it is defined below
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