Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 11.3, Problem 1E
To determine
a)
To find:
The equilibrium matrix
To determine
(b)
To check:
The answer of the solution by verifying
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Exercise 2.14. Let A € Mmn (R). For r = {1,...,m} and s € {1,...,m}, let Irs €
Mm (R) be the matrix whose rs-component is 1 and all the other ones are equal to 0.
Answer the following questions with words :
1. What is Is A ?
2. For rs, what is (Irs + Isr) A ?
3. For rs, what is (1m + Irs + Isr - Irr - Iss) A ?
4. For rs, what is (1m+cIrs) A, for some c ER ?
Find the sıze of the matrix
0.
7.
Consider the following matrix.
P =
0.1
0.1
0.9
0.9
(a)
Calculate P2 = P · P.
(b)
Calculate P4 = P2 · P2.
(c)
Calculate P8.
(d)
Without computing it explicitly, find
P1,000.
Chapter 11 Solutions
Mathematics: A Practical Odyssey
Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...Ch. 11.0A - Prob. 2ECh. 11.0A - Prob. 3ECh. 11.0A - Prob. 4ECh. 11.0A - Prob. 5ECh. 11.0A - Prob. 6ECh. 11.0A - Prob. 7ECh. 11.0A - Prob. 8ECh. 11.0A - Prob. 9ECh. 11.0A - In Exercises 1-10, a find the dimensions of the...
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