This study guide covers modeling contextual scenarios using matrices, focusing on Markov Chains. It explains constructing transition matrices, predicting future and past states using matrix multiplication and inverses, and finding steady states. The guide also includes practice questions and exam tips covering common question types and important concepts like state vectors.
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Question 1 of 9
If a system has two states, A and B, and the probability of transitioning from A to A is 0.8, and from B to B is 0.7, what are the probabilities of transitioning from A to B and from B to A respectively in the transition matrix?
0.2 and 0.3
0.8 and 0.7
0.3 and 0.2
0.2 and 0.7