(a) Explanation It is provided that the product X o ⋅ P n can be calculated in the following two ways: (1) By calculating the n th power of the transition matrix P and then multiplying the result with the matrix X o . (2) By multiplying the matrix X o with the matrix P repeatedly n times. These two methods give the same answer. This can be verified as Consider the first method. This can be represented mathematically as X o ⋅ ( P ) n Now use the properties of exponents to obtain X o ⋅ ( P ) n = X 0 ⋅ ( P n ) = X 0 ⋅ ( P 1 + ( n − 1 ) ) = X 0 ⋅ ( P ⋅ P n − 1 ) All the three terms in the last expression are matrices (b) To determine The easier methodology of the two provided.

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

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ISBN: 9780133886818

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 10.1, Problem 25E

(a)

To determine

To verify: The product Xo⋅Pn can be calculated in two ways.

(b)

To determine

The easier methodology of the two provided.

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Chapter 10.1, Problem 24E

Chapter 10.1, Problem 26E

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Chapter 10 Solutions

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

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To verify: The product X o ⋅ P n can be calculated in two ways.

Solution Summary: The author explains that the product X_ocdot 'Pn can be calculated in two ways: (1) by calculating the n th power of the transition matrix P

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To verify: The product Xo⋅Pn can be calculated in two ways.

The easier methodology of the two provided.

Want to see the full answer?

Chapter 10 Solutions