Answered: You are given a transition matrix P and…

You are given a transition matrix P and initial distribution vector v. P = 0.5 0.5 0 1 , v = 1 0 (a) Find the two-step transition matrix. (b) Find the distribution vector after one step.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 33E

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Question

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You are given a transition matrix P and initial distribution vector v.

P =

0.5

, v =

(a) Find the two-step transition matrix.

(b) Find the distribution vector after one step.

Find the distribution vector after two steps.

Find the distribution vector after three steps.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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