Explanation Given Information: The provided matrix is [ 0.7 1 0.3 0 ] . Stochastic matrices for which some power contains no zero entries are called regular matrices. Consider the given matrix [ 0.7 1 0.3 0 ] . Thus, to check the matrix provided is regular for which some power contains no zero entries. The first power can be calculated as, A 1 = A = [ 0.7 1 0.3 0 ] Therefore, the first power A 1 = [ 0.7 1 0.3 0 ] . Now, the second power can be calculated as, A 2 = A ⋅ A = [ 0.7 1 0.3 0 ] [ 0.7 1 0.3 0 ] = [ 0.49 + 0.3 0.7 + 0 0.21 + 0 0.3 + 0 ] = [ 0

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Chapter 8.1, Problem 46E

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Whether the given matrix is regular or not, by looking at the first few powers of the matrix [0.710.30].

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Chapter 8.1, Problem 45E

Chapter 8.1, Problem 47E

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Ch. 8.1 - 1. Is a stochastic matrix? Ch. 8.1 - 2. Learning Process An elementary learning process...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 7–12, write a stochastic matrix...Ch. 8.1 - Prob. 8E

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Whether the given matrix is regular or not, by looking at the first few powers of the matrix [ 0.7 1 0.3 0 ] .

Solution Summary: The author evaluates whether the given matrix is regular or not by looking at the first few powers of the matrix left[cc0.7& 1 0.3& 0end

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Whether the given matrix is regular or not, by looking at the first few powers of the matrix [0.710.30].

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