APFIVE Properties of Transition Matrices
Consider the transition matrix $$T=\begin{pmatrix}0.7 & 0.2 \\ 0.3 & 0.8\end{pmatrix}$$. Which of the following statements is/are true?
I. In matrix $$T$$, the sum of the entries in each column is 1.
II. Transition matrices are used to model how a system’s state changes over discrete time intervals.
III. Every transition matrix is invertible.
A
All statements I, II, and III are true.
B
Only statement I is true.
C
Only statements I and II are true.
D
Only statements II and III are true.
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