Find the steady-state vector for the matrix below. 0.7 0.2 0.3 0.8 0.4 The steady-state vector is 0.6 (Type an integer or decimal for each matrix element.
Find the steady-state vector for the matrix below. 0.7 0.2 0.3 0.8 0.4 The steady-state vector is 0.6 (Type an integer or decimal for each matrix element.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Finding the Steady-State Vector for a Matrix**
Given the following matrix:
\[
\begin{bmatrix}
0.7 & 0.2 \\
0.3 & 0.8
\end{bmatrix}
\]
**The Steady-State Vector is:**
\[
\begin{bmatrix}
0.4 \\
0.6
\end{bmatrix}
\]
*(Type an integer or decimal for each matrix element.)*
In this context, the steady-state vector represents the long-term behavior of a system described by the matrix. Each element in the vector indicates the proportion or probability distribution when the system reaches equilibrium.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75f96cc1-f20f-41e8-af87-e67129ee7f4c%2F9ad24288-97b2-4dd6-afda-9699a8d5f264%2Fbwv6edo_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding the Steady-State Vector for a Matrix**
Given the following matrix:
\[
\begin{bmatrix}
0.7 & 0.2 \\
0.3 & 0.8
\end{bmatrix}
\]
**The Steady-State Vector is:**
\[
\begin{bmatrix}
0.4 \\
0.6
\end{bmatrix}
\]
*(Type an integer or decimal for each matrix element.)*
In this context, the steady-state vector represents the long-term behavior of a system described by the matrix. Each element in the vector indicates the proportion or probability distribution when the system reaches equilibrium.
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