(0.8 0.3 0.2 0.7 Consider a dynamic system with states a and b governed by a stochastic matrix A = as follows: an+1 an = A bn bn+1 ao where an and b, represents number of elements in state a and b after n steps respectively. Let (70` .What does the Perron-Frobenius Theorem for stochastic 30 matrices tells us? Select all correct options. 70 is a stationary distribution of A 30 70 when n is large. 30 an The sequence converges to bn The sequence converges to a stationary distribution when n is large. bn A bas opl, luo which ic 1 O O

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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0.8 0.3
as follows:
Consider a dynamic system with states a and b governed by a stochastic matrix A =
0.2 0.7
()- (*)
(:) -
An+1
bn+1
: A
bn
70
. What does the Perron-Frobenius Theorem for stochastic
30
ao
bo
where an and b, represents number of elements in state a and b after n steps respectively. Let
matrices tells us?
Select all correct options.
70
is a stationary distribution of A
30
An
converges to
bn
70
when n is large.
30
The sequence
converges to a stationary distribution when n is large.
An
bn
The sequence
A has only one eigenvalue, which is 1.
Transcribed Image Text:0.8 0.3 as follows: Consider a dynamic system with states a and b governed by a stochastic matrix A = 0.2 0.7 ()- (*) (:) - An+1 bn+1 : A bn 70 . What does the Perron-Frobenius Theorem for stochastic 30 ao bo where an and b, represents number of elements in state a and b after n steps respectively. Let matrices tells us? Select all correct options. 70 is a stationary distribution of A 30 An converges to bn 70 when n is large. 30 The sequence converges to a stationary distribution when n is large. An bn The sequence A has only one eigenvalue, which is 1.
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