Expressing the given vectors using matrix multiplication:

Suppose Ct be the number of children in Indiana at the beginning of the year t and At be the number of adults in Indiana at the beginning of year t.

Since during any year t, 5% of all the children become adults and 1% of all children die, the number of children at the beginning of the year t+1 is 96% of the previous year.

Hence, the number of children in the beginning of the year t+1 is,

Ct+1=0.96Ct

Also, during any year t , 3% of all adults die. So, 97% of all adults will live in the beginning of the year t+1 .

Therefore, the number of adults in the beginning of the year t+1 is,

At+1=0

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Solution Summary: The author explains the relation between matrices using matrix multiplication. Suppose C_t be the number of children in Indiana at the beginning of the year T and A

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