A Country Has Two Main Political Parties $\vec{P}=(f, s, n)$ Gives the Number of People Who Are Members of the s

Short Answer

A country has two main political parties. The vector $\vec{P}=(f, s, n)$ gives the number of people who are members of the first party, the second party, and neither party, respectively. Suppose $\vec{P}_{\text {new }}=\mathbf{T} \vec{P}_{\text {old }}=\left(\begin{array}{ccc}0.95 & 0.11 & 0.10 \\ 0.04 & 0.85 & 0.15 \\ 0.01 & 0.04 & 0.75\end{array}\right) \vec{P}_{\text {old }}$ . What percent of the members of the second party switch to the first party each year?