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Elementary linear algebra

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Table of contents:
Chapter 1: Systems of Linear Equations
1.1: Introduction to Systems of Linear Equations (43)
1.2: Gaussian Elimination and Gauss-Jordan Elimination (38)
1.3: Applications of Systems of Linear Equations (22)
1: Review Exercises (12)

Chapter 2: Matrices
2.1: Operations with Matrices (45)
2.2: Properties of Matrix Operations (45)
2.3: The Inverse of a Matrix (38)
2.4: Elementary Matrices (35)
2.5: Markov Chains (23)
2.6: More Applications of Matrix Operations (14)
2: Review Exercises (20)

Chapter 3: Determinants
3.1: The Determinant of a Matrix (30)
3.2: Determinants and Elementary Operations (24)
3.3: Properties of Determinants (34)
3.4: Applications of Determinants (35)
3: Review Exercises (16)
3: Cumulative Test

Chapter 4: Vector Spaces
4.1: Vectors in Rn (37)
4.2: Vector Spaces (26)
4.3: Subspaces of Vector Spaces (28)
4.4: Spanning Sets and Linear Independence (42)
4.5: Basis and Dimension (39)
4.6: Rank of a Matrix and Systems of Linear Equations (31)
4.7: Coordinates and Change of Basis (27)
4.8: Applications of Vector Spaces (36)
4: Review Exercises (18)

Chapter 5: Inner Product Spaces
5.1: Length and Dot Product in Rn (45)
5.2: Inner Product Spaces (41)
5.3: Orthonormal Bases: Gram-Schmidt Process (28)
5.4: Mathematical Models and Least Squares Analysis (24)
5.5: Applications of Inner Product Spaces (38)
5: Review Exercises (6)
5: Cumulative Test

Chapter 6: Linear Transformations
6.1: Introduction to Linear Transformations (31)
6.2: The Kernel and Range of a Linear Transformation (25)
6.3: Matrices for Linear Transformations (25)
6.4: Transition Matrices and Similarity (18)
6.5: Applications of Linear Transformations (37)
6: Review Exercises (5)

Chapter 7: Eigenvalues and Eigenvectors
7.1: Eigenvalues and Eigenvectors (22)
7.2: Diagonalization (21)
7.3: Symmetric Matrices and Orthogonal Diagonalization (24)
7.4: Applications of Eigenvalues and Eigenvectors (34)
7: Review Exercises (5)
7: Cumulative Test

Chapter 8: Complex Vector Spaces (online)
8.1: Complex Numbers
8.2: Conjugates and Division of Complex Numbers
8.3: Polar Form and DeMoivre's Theorem
8.4: Complex Vector Spaces and Inner Products (12)
8.5: Unitary and Hermitian Matrices
8: Review Exercises

Chapter 9: Linear Programming (online)
9.1: Systems of Linear Inequalities
9.2: Linear Programming Involving Two Variables
9.3: The Simplex Method: Maximization
9.4: The Simplex Method: Minimization
9.5: The Simplex Method: Mixed Constraints
9: Review Exercises

Chapter 10: Numerical Methods (online)
10.1: Gaussian Elimination with Partial Pivoting
10.2: Iterative Methods for Solving Linear Systems
10.3: Power Method for Approximating Eigenvalues
10.4: Applications of Numerical Methods
10: Review Exercises

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Availability

Detail Information

Series Title

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Call Number

512.5 LAR e2

Publisher

Boston : Cengage Learning., 2017

Collation

xiv, 398 hal.; ilus.; 29 cm

Language

English

ISBN/ISSN

9781305658004

Classification

512.5

Content Type

-

Media Type

-

Carrier Type

-

Edition

Eighth Edition

Subject(s)

Algebras, Linear
Aljabar Linier

Specific Detail Info

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Statement of Responsibility

Ron Larson

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