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Matrices — Question 44

Original QCE Vault practice · 5 marks

Q44 · Practice questionComplex familiar5 marks

QUESTION 44 (5 marks)

A three-class population is modelled by

L=\begin{pmatrix}0&0.8&1.5\\0.4&0&0\\0&0.6&0\end{pmatrix},\qquad\mathbf p_0=\begin{pmatrix}150\\100\\50\end{pmatrix}.

a)

Determine

\mathbf p_1

.

[3 marks]

b)

Interpret the entry 0.6 in the context of a Leslie matrix.

[2 marks]

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