(a) For which value of "a" does this population grow ?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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1.5 2
Suppose that G =
is the Leslie Matrix of a population with two age groups.
a
(a) For which value of "a" does this population grow ?
(b) Find the population after 50 breeding seasons starting with 105 hatchlings and
1 adult. Let a =0.08.
11 = 121
122 = 144
13 = 169
14 - 196
152 = 225
%3D
16 = 256
%3D
17 - 289
18 = 324
%3!
Transcribed Image Text:1.5 2 Suppose that G = is the Leslie Matrix of a population with two age groups. a (a) For which value of "a" does this population grow ? (b) Find the population after 50 breeding seasons starting with 105 hatchlings and 1 adult. Let a =0.08. 11 = 121 122 = 144 13 = 169 14 - 196 152 = 225 %3D 16 = 256 %3D 17 - 289 18 = 324 %3!
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