%% Modeling the Monarch Butterfly Population Using Matrices
% Your name goes here
% Table of Contents
% Problem 1
% Problem 2
% Problem 3
% Problem 4
% Problem 5
% Problem 6
% Problem 7
% Problem 8
% Problem 9
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%% Problem 1
% [Typeset your solution here.  Make sure to use the equation editor for any mathematical notation]
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%% Problem 2
% [Typeset your solution here.  Make sure to use the equation editor for any mathematical notation]
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%% Problem 3
% [Typeset your solution here.  Make sure to use the equation editor for any mathematical notation]
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%% Problem 4

% Code goes here be sure to use the prescribed variable names

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%% Problem 5

x = x0; 
P = x0; 
for k = 1:26 
    x = A*x; 
    P = [P x]; 
end

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%% Problem 6
% [Typeset your discussion here.]

% Code goes here

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%% Problem 7
% [Typeset your discussion here.]

% Code goes here

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%% Problem 8
% [Typeset your discussion here.]

% Code goes here

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%% Problem 9
% [Typeset your background here. Make sure you link to your source(s).]
% [Typeset your survival/fertility statements here.]
% [Typset how you assemble your model here. Be sure to use the equation editor for mathematical notation]

% Code goes here

% [Typeset your long-term prediction discussion here.]