In Exercises 17 and 18, suppose a mouse wanders through the given maze. The mouse must move

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In Exercises 17 and 18, suppose a mouse wanders through the given maze. The mouse must move into a different room at each time step and is equally likely to leave the room through any of the available doorways.

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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