
Elementary Linear Algebra
8th Edition
By: Charles Larson
Hardcover | 30 October 2015 | Edition Number 8
At a Glance
592 Pages
Revised
27.31 x 21.59 x 1.91
Hardcover
$762.75
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Data and applications reflect current statistics and examples to engage students and demonstrate the link between theory and practice. This new edition is now fully supported by two optional strong digital learning solutions, Enhanced WebAssign and MindTap Math, and the companion website LarsonLinearAlgebra.com offers free access to multiple tools and resources to supplement students’ learning.
New to this Edition
- A new, more student-friendly design includes a greater number of images that make content more relevant for students.
- A new section has been added to chapter 2. Section 2.5, Markov Chains, was added to explore the topic of Markov Chains in greater depth.
- A new companion website, LarsonLinearAlgebra.com, developed by Ron Larson, offers students free access to multiple learning tools and resources. Your students can explore examples, watch lesson videos, download data sets, and much more.
- New interactive examples allow students to explore linear algebra by manipulating matrices and functions and observing the results.
- NEW TECHNOLOGY. MindTap® Math for ELEMENTARY LINEAR ALGEBRA is the all-in-one digital learning solution built with input from today’s students and instructors to enhance the learning experience. Complete with a modern design, student diagnostic and improvement plan, end-of-chapter exercises, automatically-graded algorithmic questions with just-in-time homework help and immediate feedback, MindTap helps instructors reduce distraction and keep students focused and engaged in learning course concepts.
About the Author
Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.
1. SYSTEMS OF LINEAR EQUATIONS.
Introduction to Systems of Equations. Gaussian Elimination and Gauss-Jordan Elimination. Applications of Systems of Linear Equations.
2. MATRICES.
Operations with Matrices. Properties of Matrix Operations. The Inverse of a Matrix. Elementary Matrices. Markov Chains. Applications of Matrix Operations.
3. DETERMINANTS.
The Determinant of a Matrix. Evaluation of a Determinant Using Elementary Operations. Properties of Determinants. Applications of Determinants.
4. VECTOR SPACES.
Vectors in Rn. Vector Spaces. Subspaces of Vector Spaces. Spanning Sets and Linear Independence. Basis and Dimension. Rank of a Matrix and Systems of Linear Equations. Coordinates and Change of Basis. Applications of Vector Spaces.
5. INNER PRODUCT SPACES.
Length and Dot Product in Rn. Inner Product Spaces. Orthogonal Bases: Gram-Schmidt Process. Mathematical Models and Least Squares Analysis. Applications of Inner Product Spaces.
6. LINEAR TRANSFORMATIONS.
Introduction to Linear Transformations. The Kernel and Range of a Linear Transformation. Matrices for Linear Transformations. Transition Matrices and Similarity. Applications of Linear Transformations.
7. EIGENVALUES AND EIGENVECTORS.
Eigenvalues and Eigenvectors. Diagonalization. Symmetric Matrices and Orthogonal Diagonalization. Applications of Eigenvalues and Eigenvectors.
8. COMPLEX VECTOR SPACES (online).
Complex Numbers. Conjugates and Division of Complex Numbers. Polar Form and Demoivre’s Theorem. Complex Vector Spaces and Inner Products. Unitary and Hermitian Spaces.
9. LINEAR PROGRAMMING (online).
Systems of Linear Inequalities. Linear Programming Involving Two Variables. The Simplex Method: Maximization. The Simplex Method: Minimization. The Simplex Method: Mixed Constraints.
10. NUMERICAL METHODS (online).
Gaussian Elimination with Partial Pivoting. Iterative Methods for Solving Linear Systems. Power Method for Approximating Eigenvalues. Applications of Numerical Methods.
ISBN: 9781305658004
ISBN-10: 1305658000
Series: Mindtap Course List
Published: 30th October 2015
Format: Hardcover
Language: English
Number of Pages: 592
Audience: College, Tertiary and University
Publisher: Cengage Learning, Inc
Country of Publication: US
Edition Number: 8
Edition Type: Revised
Dimensions (cm): 27.31 x 21.59 x 1.91
Weight (kg): 1.25
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