Consider the mouse in the following maze from Section 10.1, Exercise 17. If the mouse starts in

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Consider the mouse in the following maze from Section 10.1, Exercise 17.

If the mouse starts in room 3, how long on average will it take the mouse to return to room 3?

Data from Section 10.1, Exercise 17

The mouse is placed in room 2 of the maze shown.

a. Construct a transition matrix and an initial probability vector for the mouse’s travels.

b. What are the probabilities that the mouse will be in each of the rooms after 3 moves?

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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