Explanation Given: The following transition matrix: [ 0.3 0.2 0.3 0.1 0.1 0.4 0.2 0.1 0.2 0.1 0.1 0.3 0.2 0.2 0.2 0.2 0.1 0.3 0.2 0.2 0.1 0.1 0.4 0.2 0.2 ] Explanation: Let the matrix provided be denoted by B. The dimension of the matrix and its entries make computations via hand a lot more tedious. These computations are thus carried out using the Ti-83 calculator. Proceed with the following steps: Step 1: Press the [2 nd ] key and then the [ x − 1 ] key to open the matrix menu. Step 2: Press the right arrow key twice to get to the EDIT submenu. Step 3: Press the [2] key to select the matrix B. Step 4: Press 5, then press [ENTER]. Repeat the last line to enter the dimension of the matrix as 5 × 5 . Step 5: Start entering the desired entries to complete the matrix and press [ENTER] after every key. Step 6: After all the 25 entries have been entered, press [2 nd ] and then [MODE] to get to the main screen. Step 7: Now, to display the first power of the matrix, repeat the first step and this time press 1. Step 8: This results in [ B ] being displayed on the main screen

11th Edition

ISBN: 9780321979438

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

Publisher: PEARSON

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Chapter 10.1, Problem 24E

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The first five powers of the provided transition matrix and the probability of moving from state two to state 4 after 5 repetitions.

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Chapter 10.1, Problem 23E

Chapter 10.1, Problem 25E

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Chapter 10 Solutions

Finite Mathematics (11th Edition)

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The first five powers of the provided transition matrix and the probability of moving from state two to state 4 after 5 repetitions.

Solution Summary: The author explains how to determine the first five powers of the provided transition matrix and the probability of moving from state two to state 4 after 5 repetitions.

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The first five powers of the provided transition matrix and the probability of moving from state two to state 4 after 5 repetitions.

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Chapter 10 Solutions