Leslie Matrix Question

[Tarmac27]

Hello,

I'm stuck on Part B of this Leslie matrix application question:



For Part A I found the Leslie Matrix:

[math]L=\begin{pmatrix} 0.2 & 0.5 & 0.6 & 0.4\\ 0.7 & 0 & 0 & 0\\ 0 & 0.7 & 0 & 0\\ 0 & 0 & 0.7 & 0\\ \end{pmatrix}[/math]
And the initial population matrix as:

[math]P_0=\begin{pmatrix} 800\\ 800\\ 800\\ 800\end{pmatrix}[/math]
Then find the population on the 20th Day using the formula:

[math]P_k=L^kP_0[/math]
But this was incorrect. Anything helps.

Thanks.

 

[Harry_the_cat]

What result did you get?

 

[Tarmac27]

What result did you get?

Hi,

I got the following population matrix:

[math]P=\begin{pmatrix} 980\\ 692\\ 488\\ 344\end{pmatrix}[/math]
To three significant figures

 

[Tarmac27]

The textbook I'm working from got:

[math]P=\begin{pmatrix} 1150\\ 808\\ 570\\ 402\end{pmatrix}[/math]

 

[Harry_the_cat]

I agree with your answer. Must be a misprint.

 

[Tarmac27]

I agree with your answer. Must be a misprint.

Ok yea I guess it is just a mistake thanks for the help