Linear Algebra - Contents

Preface

Introduction to Matrices
- 1.1 Questions
- 1.2 Answers
- 1.3 Problems
Addition of Matrices
- 2.1 Questions
- 2.2 Answers
- 2.3 Problems
Multiplication of Matrices
- 3.1 Questions
- 3.2 Answers
- 3.3 Problems
Equations
- 4.1 Coding
- 4.2 Questions
- 4.3 Answers
- 4.4 Problems
Determinants
- 5.1 Expansions by Minors
- 5.2 Using Gaussian Eleminations
- 5.3 Inverses and Solutions to Systems
- 5.4 Definiton of the Determinant
- 5.5 Questions
- 5.6 Answers
- 5.7 Problems
Consistent and Inconsistent Systems
- 6.1 Problems
First Review
Markov Chains
- 7.1 Questions
- 7.2 Answers
- 7.3 Problems
Least Squares Approximation
- 8.1 Proof of Normal Equations
- 8.2 Questions
- 8.3 Answers
- 8.4 Problems
Eigenvalues and Eigenvectors
- 9.1 Problems
Numerical Challenges
- 10.1 Operation Counts
Second Review
Tests
- 11.1 Matrix Test 1A
- 11.2 Matrix Test 1B
- 11.3 Matrix Test 1C
- 11.4 Matrix Test 2A
- 11.5 Matrix Test 2B
Solutions
- 12.1 Solutions to Introduction Problems
- 12.2 Solutions to Addition Problems
- 12.3 Solutions to Multiplication Problems
- 12.4 Solutions to Systems of Equations Problems
- 12.5 Solutions to Determinant Problems
- 12.6 Solutions to Consistent and Inconsistent Problems
- 12.7 Solutions to First Review
- 12.8 Solutions to Markov Chains Problems
- 12.9 Solutions to Least Squares Problems
- 12.10 Solutions to Eigenpairs Problems
- 12.11 Solutions to Second Review
- 12.12 Solutions to Matrix Test 1A
- 12.13 Solutions to Matrix Test 1B
- 12.14 Solutions to Matrix Test 1C
- 12.15 Solutions to Matrix Test 2A
- 12.16 Solutions to Matrix Test 2B

: Bibliography; Index

A PDF version of the book is available also. Click on the link to download it -- linearbook.pdf, 850 KB.

This page has been accessed (unknown) since October 11, 2000.

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Updated: June 10, 2008