For the matrix P and its limiting matrix P shown below, determine the long-run behavior of successive state matrices for each of the following initial-state matrices. (A) S, = [ 0 0 1] (B) S, = 0.5 0.4 0.1| A B A 0 0 1 1 P= B 1 P= B 1 0 C 0.2 0.3 0.5 C 0.40 0.60 0 (A)O (Type an integer or decimal for each matrix element. Round to two decimal places as needed.) (B)O (Type an integer or decimal for each matrix element. Round to two decimal places as needed.)

For the matrix P and its limiting matrix P shown below, determine the long-run behavior of successive state matrices for each of the following initial-state matrices. (A) S, = [ 0 0 1] (B) S, = 0.5 0.4 0.1| A B A 0 0 1 1 P= B 1 P= B 1 0 C 0.2 0.3 0.5 C 0.40 0.60 0 (A)O (Type an integer or decimal for each matrix element. Round to two decimal places as needed.) (B)O (Type an integer or decimal for each matrix element. Round to two decimal places as needed.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 23EQ

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