Properties of Transition Matrices
I. The transition matrix $$T=\begin{pmatrix}0.7 & 0.2 \\ 0.3 & 0.8\end{pmatrix}$$ has columns that each sum to 1.
II. Transition matrices are utilized to model dynamic systems over discrete time intervals.
III. The inverse of a transition matrix always exists.
Which of these statements regarding the transition matrix $$T$$ are true?
Transition Matrix T: $$\begin{pmatrix}0.7 & 0.2 \\ 0.3 & 0.8\end{pmatrix}$$
A
Only statement I is true.
B
Only statements I and II are true.
C
All statements I, II, and III are true.
D
Only statements II and III are true.
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