Show that when x is a probability vector andAis a stochastic matrix, thenAx is another

Chapter 6, Problem 13

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QUESTION:

Show that when x is a probability vector andAis a stochastic matrix, thenAx is another probability vector.

Questions & Answers

QUESTION:

Show that when x is a probability vector andAis a stochastic matrix, thenAx is another probability vector.

ANSWER:

Step 1 of 2

Probability vector:  is said to be a probability vector, if all entries are non-negative and add up to 1. The probability vector will be a column vector.

Stochastic matrix: Matrix A is said to be a stochastic matrix if each of its column vectors is a probability vector.

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