## Description

**Test Bank for Linear Algebra with Applications 2nd Edition Holt**

**Downloadable Instructor Test Bank for Linear Algebra with Applications 2nd Edition by Jeffrey Holt, ISBN: 9781319057701**

**Table of Contents**

Preface

1. Systems of Linear Equations

1.1 Lines and Linear Equations

1.2 Linear Systems and Matrices

1.3 Applications of Linear Systems

1.4 Numerical Solutions

2. Euclidean Space

2.1 Vectors

2.2 Span

2.3 Linear Independence

3. Matrices

3.1 Linear Transformations

3.2 Matrix Algebra

3.3 Inverses

3.4 LU Factorization

3.5 Markov Chains

4. Subspaces

4.1 Introduction to Subspaces

4.2 Basis and Dimension

4.3 Row and Column Spaces

4.4 Change of Basis

5. Determinants

5.1 The Determinant Function

5.2 Properties of the Determinant

5.3 Applications of the Determinant

6. Eigenvalues and Eigenvectors

6.1 Eigenvalues and Eigenvectors

6.2 Diagonalization

6.3 Complex Eigenvalues and Eigenvectors

6.4 Systems of Differential Equations

6.5 Approximation Methods

7. Vector Spaces

7.1 Vector Spaces and Subspaces

7.2 Span and Linear Independence

7.3 Basis and Dimension

8. Orthogonality

8.1 Dot Products and Orthogonal Sets

8.2 Projection and the Gram-Schmidt Process

8.3 Diagonalizing Symmetric Matrices and QR Factorization

8.4 The Singular Value Decomposition

8.5 Least Squares Regression

9. Linear Transformations

9.1 Definition and Properties

9.2 Isomorphisms

9.3 The Matrix of a Linear Transformation

9.4 Similarity

10. Inner Product Spaces

10.1 Inner Products

10.2 The Gram-Schmidt Process Revisited

10.3 Applications of Inner Products

11. Additional Topics and Applications

11.1 Quadratic Forms

11.2 Positive Definite Matrices

11.3 Constrained Optimization

11.4 Complex Vector Spaces

11.5 Hermitian Matrices

Glossary

Answers to Selected Exercises

Index