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Determine whether the matrix is a regular stochastic matrix. A= 0.2 0 0.8 1 Is the matrix A a regular stochastic matrix? No, because the columns of A are not probability vectors. No, because there is no power of A that contains only strictly positive entries. Yes, because some power of A contains only strictly positive entries. Yes, because the columns of A are probability vectors.

Determine whether the matrix is a regular stochastic matrix. A= 0.2 0 0.8 1 Is the matrix A a regular stochastic matrix? No, because the columns of A are not probability vectors. No, because there is no power of A that contains only strictly positive entries. Yes, because some power of A contains only strictly positive entries. Yes, because the columns of A are probability vectors.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the matrix is a regular stochastic matrix. 0.2 0 0.8 1 A = Is the matrix A a regular stochastic matrix? No, because the columns of A are not probability vectors. No, because there is no power of A that contains only strictly positive entries. Yes, because some power of A contains only strictly positive entries. Yes, because the columns of A are probability vectors.
Transcribed Image Text:Determine whether the matrix is a regular stochastic matrix. 0.2 0 0.8 1 A = Is the matrix A a regular stochastic matrix? No, because the columns of A are not probability vectors. No, because there is no power of A that contains only strictly positive entries. Yes, because some power of A contains only strictly positive entries. Yes, because the columns of A are probability vectors.
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