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t the end of each year the faculty for a graduate program examine the progress that each graduate student has made on their required thesis.
t the end of each year the faculty for a graduate program examine the progress that
each graduate student has made on their required thesis. Past records indicate that
of graduate students complete the thesis requirement C and are dropped
from the program for insufficient progress D never to return. The remaining students
continue to work on their theses and remain current graduate students G
a Construct a times matrix A that describes the student populations movement
within the graduate program over each one year period. Label the rows and
columns of A beginning with G and ending with D
b Currently, there are graduate students in the program and no students have
completed their thesis or been dropped from the program. Find an initial popu
lation vector x for the graduate student population.
c Using A predict how many students remain graduate students G have com
pleted their thesis C and have been dropped from the program D one year
from now.
d Using A predict how many students remain graduate students G have com
pleted their thesis C and have been dropped from the program D two years
from now.
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