siirtymämuunnoksia
Siirtymämuunnoksia, known in English as "transition matrices" or "transition probabilities," are a fundamental concept in probability theory and discrete mathematics, particularly within the study of Markov chains. A siirtymämuunnos is a square matrix where each element represents the probability of transitioning from one state to another within a discrete system. The rows of the matrix typically represent the current states, and the columns represent the possible next states.
The key property of a siirtymämuunnos is that the sum of probabilities in each row must equal
By repeatedly multiplying a state vector (representing the probability distribution of being in each state at