(2) The long term steady state vector q is independent of the initial vector. To verify this statement, let's consider the same transition matrix P as in the weather example but use another initial vector of [0.5, 0.5] (the values must sum up to be 1). Follow the power method to approximate q. You may stop at X(7). Compare your answers with the following and select all the correct options. x(1) X(0) P = [0.7, 0.3] x(1) X(0) P = [0.6, 0.4] OX(2) = x(¹) P[0.68, 0.32] X(2)x(1) P = [0.78, 0.22] X(3) X(2) P = [0.712, 0.288] x(3) X(2) p = [0.812, 0.188] X(4) X(3) P[0.8248, 0.1752] X(4)= x(3) P = [0.7248, 0.2752] X(5) X(4) P = [0.82992, 0.17008] X(5) X(4) P = [0.72992, 0.27008] X(6) X(5) p [0.831968, 0.168032] X(6) X(5) p = [0.7327872, 0.2672128] X(7)x(6) p = [0.73311488, 0.26688512] X(7) X(6) P= [0.8327872, 0.1672128]

(2) The long term steady state vector q is independent of the initial vector. To verify this statement, let's consider the same transition matrix P as in the weather example but use another initial vector of [0.5, 0.5] (the values must sum up to be 1). Follow the power method to approximate q. You may stop at X(7). Compare your answers with the following and select all the correct options. x(1) X(0) P = [0.7, 0.3] x(1) X(0) P = [0.6, 0.4] OX(2) = x(¹) P[0.68, 0.32] X(2)x(1) P = [0.78, 0.22] X(3) X(2) P = [0.712, 0.288] x(3) X(2) p = [0.812, 0.188] X(4) X(3) P[0.8248, 0.1752] X(4)= x(3) P = [0.7248, 0.2752] X(5) X(4) P = [0.82992, 0.17008] X(5) X(4) P = [0.72992, 0.27008] X(6) X(5) p [0.831968, 0.168032] X(6) X(5) p = [0.7327872, 0.2672128] X(7)x(6) p = [0.73311488, 0.26688512] X(7) X(6) P= [0.8327872, 0.1672128]

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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