After studying linear algebra students experience three states: Forget, Like, and Dislike. The matrix M of transitions form state to state (stochastic matrix) associated with this process is expressed below. It should be read as follows: probability to remain in state F is 0.5, probability to go to L from F is 0.3, probability to go to D from F is 0.2. Similarly, probability to go to F from L is 0.2, probability to remain in L is 0.6, and probability to go to D from L is 0.2. Probability to go to F from D is 0.1, to go to L is 0.4 and to remain in D is 0.5. Find the most frequent state after multiple time periods (at least 1000). Explain your work step by step with complete English sentences. In particular, justify your answer using the properties of the eigenvector of the eigenvalue 1. 0.5 0.2 0.1 M = 0.3 0.6 0.4 0.2 0.2 0.5

After studying linear algebra students experience three states: Forget, Like, and Dislike. The matrix M of transitions form state to state (stochastic matrix) associated with this process is expressed below. It should be read as follows: probability to remain in state F is 0.5, probability to go to L from F is 0.3, probability to go to D from F is 0.2. Similarly, probability to go to F from L is 0.2, probability to remain in L is 0.6, and probability to go to D from L is 0.2. Probability to go to F from D is 0.1, to go to L is 0.4 and to remain in D is 0.5. Find the most frequent state after multiple time periods (at least 1000). Explain your work step by step with complete English sentences. In particular, justify your answer using the properties of the eigenvector of the eigenvalue 1. 0.5 0.2 0.1 M = 0.3 0.6 0.4 0.2 0.2 0.5

Name: Pleaese show all work and clearly state the answers in complete Englis
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Description: Pleaese show all work and clearly state the answers in complete English sentences. After studying linear algebra students experience threestates: Forget, Like, and Dislike. The matrix M of transitions form state tostate (stochastic matrix) associated

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Pleaese show all work and clearly state the answers in complete English sentences.

After studying linear algebra students experience three
states: Forget, Like, and Dislike. The matrix M of transitions form state to
state (stochastic matrix) associated with this process
expressed below. It
should be read as follows: probability to remain in state F is 0.5, probability to
go to L from F is 0.3, probability to go to D from F is 0.2. Similarly, probability
to go to F from L is 0.2, probability to remain in L is 0.6, and probability to go
to D from L is 0.2. Probability to go to F from D is 0.1, to go to L is 0.4 and to
remain in D is 0.5. Find the most frequent state after multiple time periods (at
least 1000). Explain your work step by step with complete English sentences.
In particular, justify your answer using the properties of the eigenvector of the
eigenvalue 1.
0.5 0.2 0.1
M
0.3 0.6
0.4
0.2 0.2 0.5

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