Consider the 2 Ã 2 stochastic matrix where 0 (a) Show that is the steady-state vector for

Question:

Consider the 2 Ã— 2 stochastic matrix

where 0 (a) Show that

is the steady-state vector for P.
(b) Show that PM converges to the matrix

by first verifying inductively that

for m = 1, 2,... (It can be shown that the sequence of powers P, P2, P3,... of any regular transition matrix converges to the matrix each of whose columns equals the steady-state vector for P.)

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:30 AM

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Consider the 2 Ã 2 stochastic matrix where 0 (a) Show that is the steady-state vector for

Question:

P+ L-P

Step by Step Answer:

a Since the entries of add to 1 it is the steady state vector b If m 1 In gener...View the full answer

Linear Algebra With Applications

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