For this problem, refer to the network as shown in Figure 1, answer the following questions. B A C FIGURE 1. For Problem (7). Let x₁ be the number of users at website A. Let x2 be the number of users at website B. Let x3 be the number of users at website C. Assume that there are a total of 900 users at these three websites. This gives us the following system of linear equations: x1 = x2 + 1x3 x2 = x1 + x3 x3 = x2 = 900 x1 + x2 + x3 = (a) Put this system into a standard form (with all variables on the left side and with the constants on the right), and convert that system into an augmented matrix, and then... (b) Use elementary row operations to put the augmented matrix into reduced row echelon form, and then... (c) Write down the solution space for this system of equations, and then... (d) Identify which website(s) would be ranked most highly by PageRank.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 9OE
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Related questions
Question
For this problem, refer to the network as shown in Figure 1, answer the following
questions.
B
A
C
FIGURE 1. For Problem (7).
Let x₁ be the number of users at website A.
Let x2 be the number of users at website B.
Let x3 be the number of users at website C.
Assume that there are a total of 900 users at these three websites. This gives us
the following system of linear equations:
x1 = x2 + 1x3
x2 = x1 + x3
x3 = x2
= 900
x1 + x2 + x3 =
(a) Put this system into a standard form (with all variables on the left side and
with the constants on the right), and convert that system into an augmented
matrix, and then...
(b) Use elementary row operations to put the augmented matrix into reduced row
echelon form, and then...
(c) Write down the solution space for this system of equations, and then...
(d) Identify which website(s) would be ranked most highly by PageRank.
Transcribed Image Text:For this problem, refer to the network as shown in Figure 1, answer the following questions. B A C FIGURE 1. For Problem (7). Let x₁ be the number of users at website A. Let x2 be the number of users at website B. Let x3 be the number of users at website C. Assume that there are a total of 900 users at these three websites. This gives us the following system of linear equations: x1 = x2 + 1x3 x2 = x1 + x3 x3 = x2 = 900 x1 + x2 + x3 = (a) Put this system into a standard form (with all variables on the left side and with the constants on the right), and convert that system into an augmented matrix, and then... (b) Use elementary row operations to put the augmented matrix into reduced row echelon form, and then... (c) Write down the solution space for this system of equations, and then... (d) Identify which website(s) would be ranked most highly by PageRank.
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