SURVEY OF MATHEMATICS - 24 MONTH MML CO
10th Edition
ISBN: 9780135835210
Author: Angel
Publisher: PEARSON
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Question
Chapter 13.4, Problem 17E
To determine
The minimum-cost spanning tree for the given graph.
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A factorization A = PDP 1 is not unique. For A=
7 2
-4 1
1
1
5 0
2
1
one factorization is P =
D=
and P-1
30
=
Use this information with D₁
=
to find a matrix P₁ such that
-
-1 -2
0 3
1
-
- 1
05
A-P,D,P
P1
(Type an integer or simplified fraction for each matrix element.)
Matrix A is factored in the form PDP 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.
30 -1
-
1 0 -1
400
0
0 1
A=
3 4 3
0 1 3
040
3 1 3
0 0
4
1
0
0
003
-1 0 -1
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
A basis for the corresponding eigenspace is {
A. There is one distinct eigenvalue, λ =
B. In ascending order, the two distinct eigenvalues are λ₁
...
=
and 2
=
Bases for the corresponding eigenspaces are {
and ( ), respectively.
C. In ascending order, the three distinct eigenvalues are λ₁ =
=
12/2
=
and 3 = Bases for the corresponding eigenspaces are
{}, }, and {
respectively.
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Chapter 13 Solutions
SURVEY OF MATHEMATICS - 24 MONTH MML CO
Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - Prob. 5ECh. 13.1 - In Exercises 1-8, fill in the blanks with an...Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - In Exercises 9-14, create a graph with the given...Ch. 13.1 - In Exercises 9-14, create a graph with the given...
Ch. 13.1 - In Exercises 9-14, create a graph with the given...Ch. 13.1 - In Exercises 9-14, create a graph with the given...Ch. 13.1 - In Exercises 9-14, create a graph with the given...Ch. 13.1 - Prob. 14ECh. 13.1 - In Exercises 15-20, use the graph below to answer...Ch. 13.1 - In Exercises 15-20, use the graph below to answer...Ch. 13.1 - In Exercises 15-20, use the graph below to answer...Ch. 13.1 - In Exercises 15-20, use the graph below to answer...Ch. 13.1 - In Exercises 15-20, use the graph below to answer...Ch. 13.1 - Prob. 20ECh. 13.1 - Modified Knigsberg Bridge Problems In Exercises 21...Ch. 13.1 - Prob. 22ECh. 13.1 - Other Navy Regions In Exercises 23 and 24, the...Ch. 13.1 - Prob. 24ECh. 13.1 - Central America The map below shows the countries...Ch. 13.1 - Northern Africa The map below shows the countries...Ch. 13.1 - For Exercises 27-30, use a graph to represent the...Ch. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - For Exercises 27-30, use a graph to represent the...Ch. 13.1 - Representing a Neighborhood The map of the Tree...Ch. 13.1 - Prob. 32ECh. 13.1 - In Exercises 33-36, determine whether the graph...Ch. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - In Exercises 37-40, a connected graph is shown....Ch. 13.1 - Prob. 38ECh. 13.1 - In Exercises 37-40, a connected graph is shown....Ch. 13.1 - Prob. 40ECh. 13.1 - Poll your entire class to determine which students...Ch. 13.1 - Attempt to draw a graph that has an odd number of...Ch. 13.1 - Draw four different graphs and then for each...Ch. 13.1 - Facebook Friends Read the Recreational Mathematics...Ch. 13.1 - Use a graph to represent a. the floor plan of your...Ch. 13.2 - In Exercises 1-6, fill in the blanks with an...Ch. 13.2 - In Exercises 1-6, fill in the blanks with an...Ch. 13.2 - In Exercises 1-6, fill in the blanks with an...Ch. 13.2 - In Exercises 1-6, fill in the blanks with an...Ch. 13.2 - In Exercises 1-6, fill in the blanks with an...Ch. 13.2 - In Exercises 1-6, fill in the blanks with an...Ch. 13.2 - For Exercises 7-10, use the following graph. 7....Ch. 13.2 - Prob. 8ECh. 13.2 - For Exercises 7-10, use the following graph. 9 Is...Ch. 13.2 - Prob. 10ECh. 13.2 - For Exercises 11-14, use the following graph. 11....Ch. 13.2 - Prob. 12ECh. 13.2 - For Exercises 11-14, use the following graph. 13....Ch. 13.2 - Prob. 14ECh. 13.2 - For Exercises 15-20, use the following graph. 15....Ch. 13.2 - Prob. 16ECh. 13.2 - For Exercises 15-20, use the following graph. 17...Ch. 13.2 - Prob. 18ECh. 13.2 - For Exercises 15-20, use the following graph. 19...Ch. 13.2 - For Exercises 15-20, use the following graph. 20...Ch. 13.2 - Prob. 21ECh. 13.2 - Revisiting the Knigsberg Bridge Problem In...Ch. 13.2 - Prob. 23ECh. 13.2 - Other Navy Regions In Exercises 23 and 24, the...Ch. 13.2 - Areas of the World In Exercises 25-28 use each map...Ch. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Locking Doors Recall Joe from Example 5 on page...Ch. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Locking Doors Recall Joe from Example 5 on page...Ch. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - In Exercises 35-38, use Fleurys algorithm to...Ch. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - In Exercises 39-44, use Fleurys algorithm to...Ch. 13.2 - Prob. 40ECh. 13.2 - In Exercises 39-44, use Fleurys algorithm to...Ch. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Determine an Euler circuit for the Country Oaks...Ch. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Imagine a very large connected graph that has 400...Ch. 13.2 - Prob. 52ECh. 13.2 - Imagine a very large connected graph that has 400...Ch. 13.2 - Prob. 54ECh. 13.2 - Prob. 56ECh. 13.2 - Prob. 57ECh. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 1-8, fill in the blanks with an...Ch. 13.3 - In Exercises 9-14, determine two different...Ch. 13.3 - In Exercises 9-14, determine two different...Ch. 13.3 - In Exercises 9-14, determine two different...Ch. 13.3 - In Exercises 9-14, determine two different...Ch. 13.3 - In Exercises 9-14, determine two different...Ch. 13.3 - Prob. 14ECh. 13.3 - In Exercises 15-18, determine two different...Ch. 13.3 - In Exercises 15-18, determine two different...Ch. 13.3 - In Exercises 15-18, determine two different...Ch. 13.3 - Prob. 18ECh. 13.3 - Draw a complete graph with four vertices.Ch. 13.3 - Prob. 20ECh. 13.3 - College Visits Nick is a high school student who...Ch. 13.3 - Prob. 22ECh. 13.3 - Inspecting Weigh Stations Sally lives in...Ch. 13.3 - Prob. 24ECh. 13.3 - Running Errands on Campus Mary needs to run...Ch. 13.3 - Prob. 26ECh. 13.3 - A Family Vacation The Ackermans live in...Ch. 13.3 - Prob. 28ECh. 13.3 - Package Delivery Laurice works for FedEx and is in...Ch. 13.3 - Basketball Teams Jasmine lives in Elko, Nevada...Ch. 13.3 - Prob. 31ECh. 13.3 - Cranberry Plants Altay lives in Boston,...Ch. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.4 - In Exercises 1-6, fill in the blanks with an...Ch. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - A Family Tree Use a tree to show the parent-child...Ch. 13.4 - Prob. 8ECh. 13.4 - Corporate Structure Use a tree to show the...Ch. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - College Structure Create a tree that shows the...Ch. 13.4 - Prob. 35ECh. 13 - In Exercises 1 and 2, create a graph with the...Ch. 13 - Prob. 2RECh. 13 - In Exercises 3 and 4, use the following graph 3....Ch. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - School Floor Plan The drawing below shows the...Ch. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - a. The drawing below shows the floor plan of a...Ch. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Use Fleury's algorithm to determine an Euler...Ch. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Visiting Sales Offices Jennifer is the sales...Ch. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 1TCh. 13 - Prob. 2TCh. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Use Fleurys algorithm to determine an Euler...Ch. 13 - Prob. 9TCh. 13 - Prob. 10TCh. 13 - Prob. 11TCh. 13 - Prob. 12TCh. 13 - Prob. 13TCh. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20T
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