The transition probability matrix was put forward by Russian mathematician Markov. At the beginning of the 20th century, he found that some factors of a system were in transition, and the nth result was only influenced by the nth result-1,that is, it was only related to the current state, but not to the past state. ? The concept of state transition is introduced into Markov analysis. The so-called state refers to the state in which objective things may appear or exist; State transition refers to the probability that objective things move from one state to another. ?

In response to your question about weather forecast, the probability table of weather state transition is as follows:

Today?

Tomorrow? How are you? Yin? Rain?

How are you? 3/4? 1/2? 1/4?

Yin? 1/8? 1/4? 1/2?

Rain? 1/8? 1/4? 1/4?

Where is the transfer matrix? Each element of a represents the probability of a state from today to tomorrow. For example, the value of the third column (the last column) in the second row is 1/2, which gives the probability that it will rain today and turn cloudy tomorrow. So a is called transfer matrix. ?

I don't know if you can understand this answer, just focus on understanding the meaning of the elements in the matrix.