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Linear Algebra: A Modern Introduction

4th Edition

David Poole

Publisher: Cengage Learning

ISBN: 9781285463247

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Problem 3EQ:

Draw the following vectors in standard position in 3: a =[0, 2, 0] b = [3, 2, 1] c = [1, -2, 1] d =...

Problem 4EQ:

If the vectors in Exercise 3 are translated so that their heads are at the point (3, 2, 1), find the...

Problem 5EQ:

For each of the following pairs of points, draw the vector AB. Then compute and redraw AB as a...

Problem 6EQ:

A hiker walks 4 km north and then 5 km northeast. Draw displacement vectors representing the hikers...

Problem 7EQ:

Exercises 7-10 refer to the vectors in Exercise 1. Compute the indicated vectors and also show how...

Problem 8EQ:

Exercises 7-10 refer to the vectors in Exercise 1. Compute the indicated vectors and also show how...

Problem 9EQ:

Exercises 7-10 refer to the vectors in Exercise 1. Compute the indicated vectors and also show how...

Problem 10EQ:

Problem 11EQ:

Exercises 11 and 12 refer to the vectors in Exercise 3. Compute the indicated vectors. 2a + 3c

Problem 12EQ:

Exercises 11 and 12 refer to the vectors in Exercise 3. Compute the indicated vectors.
12. 3b - 2c +...

Problem 13EQ:

Find the components of the vectors u, v, u + v, and u v, where u and v are as shown in Figure 1.23.

Problem 14EQ:

In Figure 1.24, A, B, C, D, E, and F are the vertices of a regular hexagon centered at the origin....

Problem 15EQ:

In Exercises 15 and 16, simplify the given vector expression. Indicate which properties in Theorem...

Problem 16EQ:

In Exercises 15 and 16, simplify the given vector expression. Indicate which properties in Theorem...

Problem 17EQ:

In Exercises 17 and 18, solve for the vector x in terms of the vectors a and b. xa=2(x2a)

Problem 20EQ:

In Exercises 19 and 20, draw the coordinate axes relative to u and v and locate w.
20.

Problem 21EQ:

In Exercises 21 and 22, draw the standard coordinate axes on the same diagram as the axes relative...

Problem 22EQ:

In Exercises 21 and 22, draw the standard coordinate axes on the same diagram as the axes relative...

Problem 25EQ:

In Exercises 25-28, u and v are binary vectors. Find u + v in each case. u=[01],v=[11]

Problem 29EQ:

Write out the addition and multiplication tables for 4.

Problem 30EQ:

Write out the addition and multiplication tables for 5.

Problem 44EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution. x+3=2in5

Problem 45EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution.
45.

Problem 46EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution. 2x=1in3

Problem 47EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution. 2x=1in4

Problem 48EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution.
48.

Problem 49EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution. 3x=4in5

Problem 50EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution. 3x=4in6

Problem 51EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution.
51.

Problem 52EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution.
52.

Problem 53EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution. 2x+3=2in5

Problem 54EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution.
54.

Problem 55EQ:

In Exercises 44-55, solve the given equation or indicate that there is no solution.
55.

Chapter 1 - VectorsChapter 1.1 - The Geometry And Algebra Of VectorsChapter 1.2 - Length And Angle: The Dot ProductChapter 1.3 - Lines And PlanesChapter 2.1 - Introduction To Systems Of Linear EquationsChapter 2.2 - Direct Methods For Solving Linear SystemsChapter 2.3 - Spanning Sets And Linear IndependenceChapter 2.4 - ApplicationsChapter 3.1 - Matrix OperationsChapter 3.2 - Matrix Algebra

Chapter 3.3 - The Inverse Of A MatrixChapter 3.4 - The Lu FactorizationChapter 3.6 - Introduction To Linear TransformationsChapter 3.7 - ApplicationsChapter 4.1 - Introduction To Eigenvalues And EigenvectorsChapter 4.2 - DeterminantsChapter 4.3 - Eigenvalues And Eigenvectors Of N X N MatricesChapter 4.4 - Similarity And DiagonalizationChapter 5.1 - Orthogonality In RnChapter 5.2 - Orthogonal Complements And Orthogonal ProjectionsChapter 5.5 - ApplicationsChapter 6.1 - Vector Spaces And SubspacesChapter 6.4 - Linear TransformationsChapter 6.7 - ApplicationsChapter 7.2 - Norms And Distance FunctionsChapter 7.3 - Least Squares ApproximationChapter 7.4 - The Singular Value Decomposition

David Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems.

We offer sample solutions for Linear Algebra: A Modern Introduction homework problems. See examples below:

Mark each of the following statements true or false: Forvectorsu,v,andwinn,ifu+w=v+wthenu=v....2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the...In Exercises 1-6, determine which equations are linear equations in the variables x, y, and z. If...Let A=[3015],B=[421023],C=[125456],D=[0321],E=[42],F=[12] In Exercises 1-16, compute the indicated...In Exercises 1-6, show that is an eigenvector of A and find the corresponding eigenvalue.
1.
In Exercises 1-6, determine which sets of vectors are orthogonal.
1.
In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[a0a]}In Exercises 1 -3, let .
1. Compute the Euclidean norm, the sum norm, and the max norm of u.

Corresponding editions of this textbook are also available below:

Linear Algebra: A Modern Introduction

4 Edition

ISBN: 9788131530245

Linear Algebra A Modern Introduction David Poole Fourth Edition 2015

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