A First Course in Linear Algebra
eBook - PDF

A First Course in Linear Algebra

  1. 276 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

A First Course in Linear Algebra

About this book

A First Course in Linear Algebra provides an introduction to the algebra and geometry of vectors, matrices, and linear transformations. This book is designed as a background for second-year courses in calculus of several variables and differential equations where the theory of linear differential equations parallels that of linear algebraic equations. The topics discussed include the multiplication of vectors by scalars, vectors in n-space, planes and lines, and composites of linear mappings. The symmetric matrices and mappings, quadratic forms, change of coordinates, and effect of change of basis on matrices of linear functions are also described. This text likewise considers the computation of determinants, diagonalizable transformations, computation of eigenvalues and eigenvectors, and principal axis theorem. This publication is suitable for college students taking a course in linear algebra.

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Yes, you can access A First Course in Linear Algebra by Daniel Zelinsky, Samuel S. Saslaw in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Year
2014
Print ISBN
9781483229560
eBook ISBN
9781483265001

Table of contents

  1. Front Cover
  2. A First Course in Linear Algebra
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Chapter 1. Vectors
  7. Chapter 2. Planes and Lines
  8. Chapter 3. Linear Functions
  9. Chapter 4. Solution of Equations
  10. Chapter 5. Dimension
  11. Chapter 6. Determinants and Transposes
  12. Chapter 7. Eigenvalues
  13. Chapter 8. Quadratic Forms and Change of Basis
  14. APPENDIX I: A Smattering of Logic
  15. APPENDIX II: Existencc of Real Eigenvalues of Symmetric Mappings
  16. Answers to Odd-Numbered Problems
  17. Index