Linear Algebra and Its Applications, Global Edition, 5th Edition

Book Description With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.

Content

Chapter 1. Linear Equations in Linear Algebra
Chapter 2. Matrix Algebra
Chapter 3. Determinants
Chapter 4. Vector Spaces
Chapter 5. Eigenvalues and Eigenvectors
Chapter 6. Orthogonality and Least Squares
Chapter 7. Symmetric Matrices and Quadratic Forms
Chapter 8. The Geometry of Vector Spaces
Chapter 9. Optimization (Online)
Chapter 10. Finite-State Markov Chains (Online)