Prove that if A is a stochastic matrix and p is a

Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence

ISBN: 9780131871410 187

Solution for problem 41 Chapter 5.5

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Problem 41

Prove that if A is a stochastic matrix and p is a probability vector. then Ap i> a probability vectot.

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M344 Section 7.4 Notes- Basic Theory of Systems of First Order Linear Equations 1-31-17 ′ 1= 11( 1+ 12( 2+ ⋯+ 1( + 1)  Consider system { ⋮ ; closely parallels single linear = ( + ( + ⋯+ ( + () ℎ 1 2 2 differential equation of order o Follows same general lines as material in 3.2 (solving linear homogeneous ODEs) and 4.1 (general theory of ℎ order ODEs) o Most efficient to write s

Step 2 of 3