Properties of Transition Matrices

Question

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.

Accepted Answer

Only statements I and II are true.

Answer

All statements I, II, and III are true.

Answer

Only statement I is true.

Answer

Only statements II and III are true.

Question Leaderboard