Skip navigation

Bookboon.com Download free eBooks and textbooks

Choose a category

Linear Algebra I

Matrices and Row operations

Linear Algebra I
4.6 (20 reviews)
ISBN: 978-87-403-0010-9
1 edition
Pages : 208
  • Price: 129.00 kr
  • Price: €13.99
  • Price: £13.99
  • Price: ₹250
  • Price: $13.99
  • Price: 129.00 kr
  • Price: 129.00 kr

Download for FREE in 4 easy steps...

We are terribly sorry, but in order to download our books or watch our videos, you will need a browser that allows JavaScript.
After entering your email address, a confirmation email will be sent to your inbox. Please approve this email to receive our weekly eBook update. We will not share your personal information with any third party.
eLib
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39.99 kr p/m
  • Start a 30-day free trial. After trial: €5.99 p/m
  • Start a 30-day free trial. After trial: £4.99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3.99 p/m
  • Start a 30-day free trial. After trial: 39.99 kr p/m
  • Start a 30-day free trial. After trial: 39.99 kr p/m
eLib
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

About the book

  1. Description
  2. Content
  3. About the Author

Description

This consists of the elementary aspects of linear algebra which depend mainly on row operations involving elementary manipulations of matrices. The field of scalars is typically the field of complex numbers.

Content

  1. Preface
  2. Preliminaries
    1. Sets And Set Notation
    2. Functions
    3. The Number Line And Algebra Of The Real Numbers
    4. Ordered fields
    5. The Complex Numbers
    6. Exercises
    7. Completeness of R
    8. Well Ordering And Archimedean Property
    9. Division And Numbers
    10. Systems Of Equations
    11. Exercises
    12. Fn
    13. Algebra in Fn
    14. Exercises
    15. The Inner Product In Fn
    16. What Is Linear Algebra?
    17. Exercises
  3. Matrices And Linear Transformations
    1. Matrices
    2. Exercises
    3. Linear Transformations
    4. Subspaces And Spans
    5. An Application To Matrices
    6. Matrices And Calculus
    7. Exercises
  4. Determinants
    1. Basic Techniques And Properties
    2. Exercises
    3. The Mathematical Theory Of Determinants
    4. The Cayley Hamilton Theorem
    5. Block Multiplication Of Matrices
    6. Exercises
  5. Row Operations
    1. Elementary Matrices
    2. The Rank Of A Matrix
    3. The Row Reduced Echelon Form
    4. Rank And Existence Of Solutions To Linear Systems
    5. Fredholm Alternative
    6. Exercises
  6. Some Factorizations
    1. LU Factorization
    2. Finding An LU Factorization
    3. Solving Linear Systems Using An LU Factorization
    4. The PLU Factorization
    5. Justification For The Multiplier Method
    6. Existence For The PLU Factorization
    7. The QR Factorization
    8. Exercises
  7. Linear Programming
    1. Simple Geometric Considerations
    2. The Simplex Tableau
    3. The Simplex Algorithm
    4. Finding A Basic Feasible Solution
    5. Duality
    6. Exercises

About the Author

Kenneth Kuttler received his Ph.D. in mathematics from The University of Texas at Austin in 1981. From there, he went to Michigan Tech. University where he was employed for most of the next 17 years. He joined the faculty of Brigham Young University in 1998 and has been there since this time. Kuttler's research interests are mainly in the mathematical theory for nonlinear initial boundary value problems, especially those which come from physical models that include damage, contact, and friction. Recently he has become interested in stochastic integration and the related problems involving nonlinear stochastic evolution equations.

This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.