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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:

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.
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In Exercises 1-6, determine which sets of vectors are orthogonal.
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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.

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