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Matrices — Question 70

Original QCE Vault practice · 6 marks

Q70 · Practice questionComplex familiar6 marks

QUESTION 70 (6 marks)

A population has Leslie matrix

L=\begin{pmatrix}0&1.4&2.0\\0.5&0&0\\0&0.6&0\end{pmatrix},\qquad\mathbf p_0=\begin{pmatrix}200\\120\\80\end{pmatrix}.

a)

Determine

\mathbf p_1

and

\mathbf p_2

.

[4 marks]

b)

Determine the percentage change in total population from

\mathbf p_0

to

\mathbf p_2

.

[2 marks]

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