Answered: 3. Draw the directed graph that… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 69EQ

See similar textbooks

Related questions

Question

3. Draw the directed graph that represents for R = {(a, a), (a, b), (b, c), (c, c), (c, a)
(c, b), (d, c), (d, a)}

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
4. Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5, 6} and edge-set E = {(1, 2), (3, 2), (3, 4), (5, 4), (5, 6), (1, 6), (1, 3), (6,4)}. (a) Draw the graph. Find (b) maximal degree, i.e. A(G), (c) minimal degree, i.e. 8(G), (d) the size of biggest clique, i.e. w(G), (e) the size of biggest independent set, i.e. a(G), ter (f) the minimal number of colours needed to color the graph, i.e. x(G).
5. Draw a directed graph for the relation with coordinate pairs (a, b), (a, d), (b, b), (b, d), (c, a), (c, b) and (d, b).
Consider the graph G with • V(G) = {2,3,6} • e(G) = {a, b, c, d, e, f, g} •E(G) = {(a, [2,2]), (b, [3,3]), (c, [6,6]), (d, [2,6]), (e, [6,2]), (f, [3,6]), (g, [6,3])} Using edge connectivity, we can define the relation R = {(2, 2), (3, 3), (6, 6), (2, 6), (6, 2), (3, 6), (6,3)} Which of the following statements are true? [More than one statement may be true.] R is reflexive. R is symmetric. R is transitive. R is antisymmetric.
1. Draw the graph G = (V, E) with vertex set V = {a, b, c, d, e, f, g, h} and edge set{(a, b), (a, e), (b, c), (b, d), (c, d), (c, g), (d, e)(e, ƒ), (f, g), (f, h), (g, h)}. a) Draw G – (d, e). b) Draw the subgraph of G induced by {c, d, e, f}.
Construct a simple graph with vertices V, W, X, Y whose degrees are 1, 2, 0, 1 What is the edge set?
The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.677) (1995, 0.655) (1996, 0.639) (1997, 0.618) (1998, 0.609) (1999, 0.605) (2000, 0.580) (2001, 0.565) (2002, 0.557) (2003, 0.542) (2004, 0.531) (2005, 0.516) (2006, 0.499) (2007, 0.478) (2008, 0.461) (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? Yes or No (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y = (c) Use the model to predict the value (in 1982–1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010 $ 2013 $ Discuss the…
The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.675) (1995, 0.654) (1996, 0.643) (1997, 0.618) (1998, 0.611) (1999, 0.599) (2000, 0.585) (2001, 0.562) (2002, 0.559) (2003, 0.539) (2004, 0.529) (2005, 0.513) (2006, 0.493) (2007, 0.482) (2008, 0.462) (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let trepresent time. Round your numerical values to four decimal places.) y = (c) Use the model to predict the value (in 1982–1984 dollars) of 1 dollar paid by consumers in 2010 and in 2011. (Round your answers to two decimal places.)
Write a function that returns true (1) if u and v have an edge in a directed graph represented by adjacency lists and false (0) otherwise.
Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?
Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right or left. It is impossible to stop on the STOP region and also not possible to jump too. Determine the possible number of routes that she is travelling to the top region. STOP T
construct a graph with vertices Q,R,S,T whose degrees are 3,2,2,1 what is the edge set?

SEE MORE QUESTIONS

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS