assume a beetle has a normal life span of 3 years. allowing us to categorize the beetles based on age. female of the species have a survival rate of 1/2 from years 1 to 2 and 1/3 from years 2 to 3 and give birth to an average of 6 new females  in the third year before dying. if P is a vector containing the population of beetles in each category, construct a linear transformation A that when multiplied by the current population P, predicts the beetle population in the following year. find A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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assume a beetle has a normal life span of 3 years. allowing us to categorize the beetles based on age. female of the species have a survival rate of 1/2 from years 1 to 2 and 1/3 from years 2 to 3 and give birth to an average of 6 new females  in the third year before dying. if P is a vector containing the population of beetles in each category, construct a linear transformation A that when multiplied by the current population P, predicts the beetle population in the following year. find A 

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