Elementary Linear Algebra, International Metric Edition,
8th Edition

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.

• Ron Larson

  Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also written numerous acclaimed textbooks, including the best-selling Calculus Series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received 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.

• A new, more student-friendly design includes a greater number of images that make content more relevant for students.

• A new, more student-friendly design includes a greater number of images that make content more relevant for students.

• 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.

• A friendly new design includes images that showcase the relevance of the mathematical content.

• 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 section has been added to chapter 2. Section 2.5, Markov Chains, was added to explore the topic of Markov Chains in greater depth.

• New interactive examples allow you to explore linear algebra by manipulating matrices and functions and observing the results.

• Coverage of Computer Algebra Systems (CAS) includes an online technology guide. Appendix B--also available online--offers an introduction to MATLAB, Maple, Mathematica, and Graphing Calculators; a walkthrough of the keystrokes needed for select examples; an applications section; and "Technology Pitfalls" students may encounter in using their CAS.

• To motivate students by emphasizing the relevance of the content, each chapter opener contains a list of sections, five photos with references to applications, and an arrow indicating the section in which each application appears.

• Capstone exercises, each of which covers several concepts, are available in each section. Conceptual in nature, they reinforce key ideas learned in the section without being time-consuming or tedious for students.

• Learning objectives are available at the beginning of every section and online at the student website for quick reference and/or review.

• Guided Proofs help students successfully complete theoretical proofs by leading them, step-by-step, through the logical sequence of statements necessary to reach the correct conclusion.

• Pedagogical support--including self-assessment tools, review sections, and writing activities--allows students to check their understanding of each section and helps them develop critical thinking skills.

• Coverage of Computer Algebra Systems (CAS) includes an online technology guide. Appendix B--also available online--offers an introduction to MATLAB, Maple, Mathematica, and Graphing Calculators; a walkthrough of the keystrokes needed for select examples; an applications section; and "Technology Pitfalls" that you may encounter in using your CAS.

• Coverage of Computer Algebra Systems (CAS) includes an online technology guide. Appendix B--also available online--offers an introduction to MATLAB, Maple, Mathematica, and Graphing Calculators; a walkthrough of the keystrokes needed for select examples; an applications section; and "Technology Pitfalls" that you may encounter in using your CAS.

• Capstone exercises, each of which covers several concepts, are available in each section. Conceptual in nature, they reinforce key ideas learned in the section without being time-consuming or tedious.

• Learning objectives are available at the beginning of every section and online at the student website for quick reference and/or review.

• Learning objectives are available at the beginning of every section and online at the student website for quick reference and/or review.

• Pedagogical support--including self-assessment tools, review sections, and writing activities--allows you to check your understanding of each section and helps you develop critical thinking skills.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

INTL COMP SOL MNL ONLINE ELEME NTARY LINEAR ALGEBRA
9781337556293

INTL IAC COGNERO ELEMENTARY LI NEAR ALGEBRA
9781337689892

INTL INSTR WBS ELEMENTARY LINE AR ALGEBRA METRIC ED
9781337616294

Cengage eBook: Elementary Linear Algebra, International Metric Edition 6 Months
9780357245538

VitalSource eBook: Elementary Linear Algebra, International Metric Edition
9781337669122

WebAssign: Elementary Linear Algebra, International Metric Edition 10 Months
9781337699839