Cover; Half Title; Title Page; Copyright Page; Preface; Table of Contents; Chapter One: A SYSTEM OF VECTORS; 1. Introduction; 2. Description of the system E3; 3. Directed line segments and position vectors; 4. Addition and subtraction of vectors; 5. Multiplication of a vector by a scalar; 6. Section formula and collinear points; 7. Centroids of a triangle and a tetrahedron; 8. Coordinates and components; 9. Scalar products; 10. Postscript; Exercises on chapter 1; Chapter Two: MATRICES; 11. Introduction; 12. Basic nomenclature for matrices; 13. Addition and subtraction of matrices
متن يادداشت
14. Multiplication of a matrix by a scalar15. Multiplication of matrices; 16. Properties and non-properties of matrix multiplication; 17. Some special matrices and types of matrices; 18. Transpose of a matrix; 19. First considerations of matrix inverses; 20. Properties of nonsingular matrices; 21. Partitioned matrices; Exercises on chapter 2; Chapter Three: ELEMENTARY ROW OPERATIONS; 22. Introduction; 23. Some generalities concerning elementary row operations; 24. Echelon matrices and reduced echelon matrices; 25. Elementary matrices; 26. Major new insights on matrix inverses
متن يادداشت
27. Generalities about systems of linear equations28. Elementary row operations and systems of linear equations; Exercises on chapter 3; Chapter Four: AN INTRODUCTION TO DETERMINANTS; 29. Preface to the chapter; 30. Minors, cofactors, and larger determinants; 31. Basic properties of determinants; 32. The multiplicative property of determinants; 33. Another method for inverting a nonsingular matrix; Exercises on chapter 4; Chapter Five: VECTOR SPACES; 34. Introduction; 35. The definition of a vector space, and examples; 36. Elementary consequences of the vector space axioms; 37. Subspaces
متن يادداشت
38. Spanning sequences39. Linear dependence and independence; 40. Bases and dimension; 41. Further theorems about bases and dimension; 42. Sums of subspaces; 43. Direct sums of subspaces; Exercises on chapter 5; Chapter Six: LINEAR MAPPINGS; 44. Introduction; 45. Some examples of linear mappings; 46. Some elementary facts about linear mappings; 47. New linear mappings from old; 48. Image space and kernel of a linear mapping; 49. Rank and nullity; 50. Row- and column-rank of a matrix; 51. Systems of linear equations revisited; 52. Rank inequalities; 53. Vector spaces of linear mappings
متن يادداشت
Exercises on chapter 6Chapter Seven: MATRICES FROM LINEAR MAPPINGS; 54. Introduction; 55. The main definition and its immediate consequences; 56. Matrices of sums, etc. of linear mappings; 57. Change of basis; 58. Matrix of a linear mapping w.r.t. different bases; 59. The simplest matrix representing a linear mapping; 60. Vector space isomorphisms; Exercises on chapter 7; Chapter Eight: EIGENVALUES, EIGENVECTORS AND DIAGONALIZATION; 61. Introduction; 62. Characteristic polynomials; 63. Eigenvalues and eigenvectors; 64. Eigenvalues in the case F = C
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0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Introduction to Linear Algebra, 2nd Edition.
شماره استاندارد بين المللي کتاب و موسيقي
9781138402157
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebras, Linear.
موضوع مستند نشده
Algebras, Linear.
موضوع مستند نشده
MATHEMATICS-- Algebra-- Intermediate.
مقوله موضوعی
موضوع مستند نشده
MAT-- 002040
رده بندی ديویی
شماره
512/
.
5
ويراست
23
رده بندی کنگره
شماره رده
QA184
نشانه اثر
.
W485
2018
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )