A club records members choosing Activities A and B. The transition matrix is \(M=\begin{pmatrix}0.7&

Question

A club records members choosing Activities A and B. The transition matrix is $M=\begin{pmatrix}0.7&0.2\0.3&0.8\end{pmatrix}$. The current numbers are represented by $v=\begin{pmatrix}120\90\end{pmatrix}$. Calculate $Mv$. Interpret the result.

Accepted Answer

(a) $\begin{pmatrix}102\108\end{pmatrix}$; (b) predicted activity numbers.

Sec 3/4 E Math T15-Q21 - Applying a transition matrix

Sec 3/4 E Math T15-Q21 - Applying a transition matrix

Solution:

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