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Vectors and matrices — Question 2

QCAA 2020, Paper 2 · 1 mark

Q2 · 2020 · Technology-activeSimple familiar1 mark

QUESTION 2

The Leslie matrix for a certain endangered species is given.
L=[0.82.40.30.40000.550]\mathbf L=\begin{bmatrix}0.8&2.4&0.3\\0.4&0&0\\0&0.55&0\end{bmatrix}.
A group of the species was moved into a secure property at the start of 2018. The initial female population is given.
N0=[1508040]\mathbf N_0=\begin{bmatrix}150\\80\\40\end{bmatrix}.
The best estimate of the total female population at the start of 2025 is
(A)
30003000
(B)
40004000
(C)
50005000
(D)
60006000
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