When Markov matrix are multiplied by input to get output, how inputs are defined and how they are different from matrix coefficients? I want to predict the presence of something based on previous data.
The transition matrix, which is the probability matrix of state transitions, when multiplied with the current state gives the expected future state.
Refer these documents for a basic understanding:
https://www.stat.auckland.ac.nz/~fewster/325/notes/ch8.pdf
https://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/Chapter11.pdf
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You can input any one of the states, as it's independent of your input.
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