Student Solutions Manual for Poole's Linear Algebra: A Modern Introduction, 2nd Edition Student Solutions Manual for Poole's Linear Algebra: A Modern Introduction, 2nd Edition

Student Solutions Manual for Poole's Linear Algebra: A Modern Introduction, 2nd Edition

2nd Edition | ISBN: 9780534998585 / 0534998585

1,663

expert-verified solutions in this book

Student Solutions Manual for Poole's Linear Algebra: A Modern Introduction, 2nd Edition
Buy on Amazon.com

2nd Edition | ISBN: 9780534998585 / 0534998585

1,663

expert-verified solutions in this book

Buy on Amazon.com

Table of Contents

Chapter 1

Vectors

1-1 The Geometry and Algebra of Vectors Exercises p.13
1-2 Length and Angle: The Dot Product Exercises p.26
1-3 Lines and Planes Exercises p.41
1-4 Code Vectors and Modular Arithmetic Exercises p.53
Review Questions p.56

Chapter 2

Systems Of Linear Equations

2-1 Introduction to Systems of Linear Equations Exercises p.64
2-2 Direct Methods for Solving Linear Systems Exercises p.83
2-3 Spanning Sets and Linear Independence Exercises p.99
2-4 Applications Exercises p.113
2-5 Iterative Methods for Solving Linear Systems Exercises p.130
Review Questions p.132

Chapter 3

Matrices

3-1 Matrix Operations Exercises p.150
3-2 Matrix Algebra Exercises p.159
3-3 The Inverse of a Matrix Exercises p.176
3-4 The LU Factorization Exercises p.187
3-5 Subspaces, Basis, Dimension, and Rank Exercises p.207
3-6 Introduction to Linear Transformations Exercises p.221
3-7 Applications Exercises p.244
Review Questions p.250

Chapter 4

Eigenvalues And Eigenvectors

4-1 Introduction to Eigenvalues and Eigenvectors Exercises p.259
4-2 Determinants Exercises p.280
4-3 Eigenvalues and Eigenvectors of nxn Matrices Exercises p.295
4-4 Similarity and Diagonalization Exercises p.306
4-5 Iterative Methods for Computing Eigenvalues Exercises p.320
4-6 Applications and the Perron-Frobenius Theorem Exercises p.356
Review Questions p.362

Chapter 5

Orthogonality

5-1 Orthogonality in Rn Exercises p.373
5-2 Orthogonal Complements and Orthogonal Projections Exercises p.384
5-3 The Gram-Schmidt Process and the QR Factorization Exercises p.391
5-4 Orthogonal Diagonalization of Symmetric Matrices Exercises p.404
5-5 Applications Exercises p.426
Review Questions p.429

Chapter 6

Vector Spaces

6-1 Vector Spaces and Subspaces Exercises p.445
6-2 Linear Independence, Basis, and Dimension Exercises p.460
6-3 Change of Basis Exercises p.475
6-4 Linear Transformations Exercises p.484
6-5 The Kernel and Range of a Linear Transformation Exercises p.499
6-6 The Matrix of a Linear Transformation Exercises p.516
6-7 Applications Exercises p.534
Review Questions p.536

Chapter 7

Distance And Approximation

7-1 Inner Product Spaces Exercises p.549
7-2 Norms and Distance Functions Exercises p.575
7-3 Least Squares Approximation Exercises p.595
7-4 The Singular Value Decomposition Exercises p.618
7-5 Applications Exercises p.630
Review Questions p.632
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